The number of common solutions for the system of linear equations 5x + 4y + 6 = 0 and 10x + 8y = 12 is

A pair of linear equations in two variables x + y + 1 = 0 and 2x – 3y + 5 = 0 has

If the lines given by linear equations 3x + 2ky - 2 = 0 and 2x + 5y + 1 = 0 are parallel, then the value of k is

The common solution of the linear equations 45x - 23y = 113 and 23x - 45y = 91 is

For which of the following values of k are the linear equations 3x - 4y - 5 = 0 and 9x - 12y - k = 0 consistent?

A father’s age is six times his son’s age. Twenty years hence, the father will be twice his son’s age. The respective present ages (in years) of the son and the father are

One angle of a triangle measures 30^o and the difference between the remaining two angles is 40 degree. The values of the angles are

The common solution of linear equations x = - 2 and y = 3 is

The pair of linear equations x = 4 and x = 6 gives

In a competitive examination, two marks are awarded for each right answer and one mark is deducted for every wrong answer. If a candidate attempted 120 questions and got 180 marks, the number of questions answered correctly is

The sum of ages of A and B 10 years ago was 45 years. The sum of ages of A and B 10 years hence will be

The sum of heights of A and B is 320 cm and the difference of their heights is 20 cm. The height of B can be

If 99x + 101y = 400 and 101x + 99y = 600, then the value of x + y is

The pair of linear equations x - 3y - 2 = 0 and 2x - 6y - 5 = 0 has

The linear equation 2x + 3y - 5 = 0 has