Solve for $x$:

If $17x+51y=85$, then $13x+39y=$

Sabarmati express take 18 second to pass completely through a stations $162$m long and $15 second $ through another station $120m$ long. The length of the sabarmathi express os 

The manufacturer of a certain item can sell all he can produce at the selling price of $Rs. 60$ each. It costs him $Rs. 40$ in materials and labour to produce each item and he has overhead expenses of $Rs. 3000$ per week in order to operate the plant. The number of units he should produce and sell in order to make a profit of at least $Rs\,1000$ per week, is : 

The value of $x$ for which $\cfrac{x-3}{4}--x< \cfrac{x-1}{2}-\cfrac{x-2}{3}$ and $2-x> 2x-8$

If $\sqrt { 1+\dfrac { x }{ 289 }  } =1\dfrac { 1 }{ 17 }$ then $x=$

Solve for $x$:-
$\dfrac{{2x - 1}}{2}\,\,\, - \dfrac{{x + 3}}{3}\,\, = \dfrac{{x - 2}}{5}$

If $\sqrt{10+ \sqrt{25+ \sqrt{x+ \sqrt{154+ \sqrt{225}}}}} = 4$ find the value of $x$

If $x(5\, -\, a)\, =\, 10\, -\, x^{2}$ and x = 2, find the value of 'a'.

Solve the following equation: 

Solve for $x$ : $\sqrt[3]{x}\,- 4\, =\, 0$

Solve for $x$ : $5\, -\, \sqrt{x}\, =\, 0$

Simplify: 
$\displaystyle 6x-\left( -4y-8x \right) $

Simplify: 
$\displaystyle x-\left[ y-{ x-\left( y-1 \right) -2x}  \right] $

Number of variables in a simple linear equation

The value of $\displaystyle \sqrt{2\sqrt{2}\sqrt{2}}...\infty $ is 

If $Rs.50$ is distributed among $150$ children giving $50p$ to each boy and $25p$ to each girl, then the number of boys is:

If $\sqrt{x+1}=\sqrt{x-1}=1$, then x is equal to __________________.

The number of solution of the equation $\sqrt{x^{2}}=x-2$ is

IF the lines $ \displaystyle y=m _{1}x+c $  and $  y=m _{2}x+c _{2}  $ are parallel , then 

If $\sqrt {x-1}-\sqrt {x + 1} + 1= 0$, then $4x$ equals

Seamus has $3$ times as many marbles as Ronit, and Taj has $7$ times as many marbles as Ronit. If Seamus has $s$ marbles then, in terms of $s$, how many marbles do Seamus, Ronit and Taj have together?

Solve the equation: $\dfrac{2z}{1-z}=6$

Solve the equation: $\dfrac{7x - 3}{3x}=2$

Find the value of $ p$ in the linear equation: $4p + 2 = 6p + 10$

Solve the equation: $\dfrac{x+2}{2x}=1$

Reduce the following linear equation: $2x + 5 = 3$

Calculate the value of $2x+y$, if $\dfrac{1}{2}x=5-\dfrac{1}{4}y$

Solve the following equation for the value of $x$: $6\sqrt [ 3 ]{ x } -24=6$.

On a car trip Sam drove  $m$  miles, Kara drove twice as many miles as Sam, and Darin drove  $20$  fewer miles than Kara. In terms of  $m$ , how many miles did Darin drive?

If $\dfrac{19}{5x+17} = \dfrac{19}{31}$, then find $x $.

If $\cfrac{37}{4\sqrt{j}-19} = \cfrac{37}{17}$, then find the value of $j$.

If $\displaystyle \frac{a-b}{b}=\frac{3}{7}$, which of the following must also be true?

If $( 2m) k=6$, then $mk = $

If $a\neq 0$ and $\dfrac{5}{x}=\dfrac{5+a}{x+a}$, what is the value of $x$?

If one-third of a two digit number exceeds its one-fourth by $8$, then what is the sum of the digits of the number?

The total cost of three prizes is Rs. $2550$. If the value of second prize is $\left(\displaystyle\frac{3}{4}\right)^{th}$ of the first prize and the value of $3rd$ prize is $\displaystyle\frac{1}{2}$ of the second prize, then the value of the first prize is ___________.

If $\sqrt {x-1}- \sqrt {x+1}+1 =0$, then $4x$ is equal to ____. 

Solve the following linear equations. If $\cfrac{x-5}{3} = \cfrac{x-3}{5}$, then $x  $is equal to

Solve the following linear equations. If $\cfrac{3t-2}{4}-\cfrac{2t+3}{3} = \cfrac{2}{3}-t$, then $t  $ is equal to

Solve the following linear equations: $m-\cfrac{m-1}{2} = 1-\cfrac{m-2}{3}$

Which of the following is the solution of the equation $\displaystyle \frac{7y+4}{y+2}=\frac{-4}{3}$ ?

Solve the following equations: $\cfrac{3y+4}{2-6y}=\cfrac{-2}{5}$

Solve the following equations: $\cfrac{9x}{7-6x}=15$

Solve the following equations: $\cfrac{8x-3}{3x}=2$

Solve the following equations: $\cfrac{z}{z+15}=\cfrac{4}{9}$

In the expression $\cfrac { x+1 }{ x-1 } $ each $x$ is replaced by $\cfrac { x+1 }{ x-1 } $. The resulting expression, evaluated for $x=\cfrac { 1 }{ 2 } $ equals:

A bag contains Rs. $90$ in coins. If coins of $50$ paise, $25$ paise, and $10$ paise are in the ratio $2 : 3: 5$, the number of $25$ paise coins in the bag is

A candidate should score $45\%$ marks of the total marks to pass the examination. He gets $520$ marks and fails by $20$ marks. The total marks in the examination are

Find the Solution  : $x - cy - bz = 0 $

 Solve:$\dfrac{{7x - 2y}}{{xy}} = 5$ and $x=2y$

$\dfrac{2x-3}{2}-\dfrac{(x+1)}{3}=\dfrac{3x-8}{4}$

Solve: 

The equation $x-\dfrac {8}{|x-3|}=3--\dfrac {8}{|x-3|}$ has

If $t = x+2$, find the value of x .If $2t-7 +\dfrac{3(t-1)}{2}=3$

Which equation is  non- linear 

A triangular number which is the sum of the square of two consecutive odd numbers is?

If $\displaystyle \frac{a}{3y}+\frac{3b}{x}=7$ and $\displaystyle a+1=2b+1=x=5,$ find the value of $'y'.$

If $(2ax + 1) (3x + 1) = 6a (x + 1)$ and $x = 1$, find the value of $a$.

Solve for $x$ : $\displaystyle \sqrt{\frac{x\, -\,2}{x\, +\, 1}}\, =\, \frac{1}{2}$

Solve for $x$ : $\displaystyle \frac{4}{3\sqrt{x}}\, =\, \frac{1}{2}$

Solve:
$x\, +\, y\, =\, 7xy$
$2x\, -\, 3y\, =\, -xy$

Find the value of $a$, if $x = 0.5$ is a solution of equation $ax^{2}\, +\, (a\, -\, 1)\,
x\, +\, 3\, =\, a$.

The solution of the equation $\displaystyle \frac{2x+4}{3x-1}=\frac{4}{3}$ is 

Find the value of $y$ in the equation : 
$\displaystyle \frac{(2-3y)+4y}{9y-(8y+7)}=\frac{4}{5}$

A combination of locks requires 3 numbers to open. The second number is $\displaystyle 2d + 5$ greater than the first number. The third number is $\displaystyle 3d - 20$ less than the second number. The sum of the three numbers is $\displaystyle 10d + 9$. The first number is 

If $\displaystyle \sqrt{\left ( x-1 \right )\left ( y+2 \right )}=7$, $x$ and $y$ being positive whole numbers, then the values of $x$ and $y$ are, respectively

If $\displaystyle 4=\sqrt{x+\sqrt{x+\sqrt{x+....,}}}$ then the value of x will be 

$\displaystyle \sqrt{6+\sqrt{6+\sqrt{6+...}}}$ equals 

If $\displaystyle \frac{x^2\, -\, (x\, +\, 1)(x\, +\, 2)}{5x\, +\, 1}\, =\, 6$, then $x$ is equal to

After receiving two successive raises Hrash's salary became $\dfrac {15}{8}$ times of his initial salary. By how much percent was the salary raised the first time if the second raise was twice as much as high (in percent) as the first ?

Reduce the following linear equation: $6t - 1 = t - 11$

Solve the equation: $\dfrac{a+4}{6-3a}=\dfrac{1}{3}$

Solve the linear equation: $5x - 12 = 2x + 18$

Reduce the linear equation: $x + 3-\dfrac{2x}{3}+\dfrac{x}{6}=0$

Reduce the linear equation: $\dfrac{x}{2}+\dfrac{2x}{4}= 10$

A brand new car costs $ \$35,000$. For the first $50,000$ miles, it will depreciate approximately $\$0.15$ per mile driven. For every mile after that, it will depreciate by $\$0.10$ per mile driven until the car reaches its scrap value. Find the net worth of the car after it is driven $92,000$ miles.

If  $\sqrt{x+16} = x-4$, then the value of extraneous solution of the above equation is:

A neighborhood recreation program serves a total $280$ children who are either $11$ years old or $12$ years old. The sum of the children's ages is $3,238$ years. How many $11$ year old children does the recreation program serve?

If $3^{2x + 2} = 27^{2}$, find the value of $x$.

If $2^{x} + 2^{x + 2} = 40$, then the value of $x$ is

When a number $x$ is subtracted from $36$ and the difference is divided by $x$, the result is $2$. Find the value of $x$.

If $3^{n - 3} + 3^{2} = 18$, calculate the value of $n$.

Let $a, b$ and $c$ be non-zero numbers such that $c$ is $24$ greater than $b$ and $b$ is $24$ greater than $a$. If $\dfrac {c}{a} = 3$, then find the value of $b$.

If $\sqrt[3]{8x+6} = -3$, calculate the value of $x$.

If $\sqrt[4]{\dfrac{x+1}{2}} = \dfrac{1}{2}$, then find $x $.

If $\dfrac{5}{x+3} = \dfrac{1}{x}+\dfrac{1}{2x}$, calculate the value of $x$.

One of the requirements for becoming a court reporter is the ability to type  $225$  words per minute. Donald can currently type  $180$  words per minute, and believes that with practice he can increase his typing speed by  $5$  words per minute each month. Which of the following represents the number of words per minute that Donald believes he will be able to type  $m $ months from now?

If $\sqrt[3]{5j - 7} = -\cfrac{1}{2}$, calculate the value of $j$.

If $\dfrac {2}{3x + 12} = \dfrac {2}{3}$, then the value of $x + 4 $ is

If $\sqrt[5]{\cfrac{g-1}{4}} = \cfrac{1}{3}$, then find the value of $g$.

The area of square $ABCD$ is three-fourths the area of parallelogram $EFGH$. The area of parallelogram $EFGH$ is one-third the area of trapezoid $IJKL$. If square $ABCD$ has an area of $125$ square feet, calculate the area of trapezoid $IJKL$, in square feet.

Find the value of $x: \dfrac {1}{x} + \dfrac {4}{5x} = \dfrac {2}{x + 5}$

Find the value of $\dfrac {4}{y} + 4$ given that $\dfrac {4}{y} + 4 = \dfrac {20}{y} + 20$

Compute the approximate value of $x$: $\sqrt [3]{\dfrac {2x + 3}{5}} = \dfrac {2}{3}$

If $\dfrac{3}{9}=\dfrac{3}{x+2}$, what is the value of $x$?

The square roots of Radhas and Krishs ages have a sum of $7$ and a difference of $1$. If Radha is older than Krish, how old is Radha?

What is the solution of $\displaystyle \frac{x-5}{2} - \frac{x-3}{5} = \frac{1}{2}$?

If $x=\displaystyle\frac{1}{\displaystyle 2-\frac{1}{\displaystyle 2-\frac{1}{2-x}}}, (x\neq 2)$, then the value of x is ________?

Meera bought packs of trading cards that contain $10$ cards each. She gave away $7$ cards.
$x=$ Number of packs of trading cards
Which expression shows the number of cards left with Meera?

Solve for x : $\dfrac{(x + 2)(2x - 3) - 2x^2 + 6}{x - 5} = 2.$

The present ages of a father and his son are in the ratio $7 : 3$ and the ratio of their ages will be $2 : 1$ after $10 $ years. Then, the present age of father (in years) is -

A number when added to its half gives $36$. Find the number.

$A$ has certain amount in his account. He gives half of this to his eldest son and one third of the remaining to his youngest son. The amount left with him now is

When an iron rod is cut into equal pieces of $30$ cm each, a piece of $4$ cm is left out. When cut into equal pieces of $29$ cm, a piece of $13$ cm is left out. The minimum length of rod is

It costs Rs. $10$ a kilometer to fly and Rs. $2$ a kilometer to drive. If one travels $200$ km covering $x$ km of the distance by flying and the rest by driving, then the cost of the trip is

The values of a so that the equation $\Vert x - 2\vert - 1\vert = a \vert x \vert$ does not contain any solution lying in the interval {2, 3} are

The minimum value of $\displaystyle f(x)=|x-1|+|x-2|+|x-3|$ is equal to 

A Gym sells two types of memberships. One packages costs $ $325$ for one year of membership with an unlimited number of visits. The second package has a $ $125$ enrolment fee, includes five free visits, and costs an additional $ $8$ per visit after first five. How many visits would a person need to use for each type of membership to cost the same amount over a one-year period?

If $\cfrac{7}{m-\sqrt{3}} = \cfrac{\sqrt{3}}{m} + \cfrac{4}{2m}$, calculate the value of $m$.