Five years ago, average age of A and B = 11 years So, sum of ages of A and B, 5 years ago = 11 x 2 = 22 years On adding the age of C, average age of A, B and C = 11 years So, (22 + C)/3 = 11 22 + C = 33 C = 11 Therefore, 5 years ago, C's age was 11 years. So, present age of C = 11 + 5 = 16 years

Let the present age of son be x years. Then, present age of father = (x + 18) years After 6 years, son's age = (x + 6) years and father's age = (x + 18 + 6) years = (x + 24) years Now, according to question, (x + 6) + (x + 24) = 54 2x + 30 = 54 x = 12 So, present age of son = 12 years and present age of father = 12 + 18 = 30 years Ten years ago, father's age = 30 - 10 = 20 years and son's age = 12 - 10 = 2 years Now, product of their ages = 20 years x 2 years= 40 years²

Let five years ago, daughter's age = x years and mother's age = 15x years Now, after 5 years, daughter's age = x + 5 + 5 = x + 10 years and mother's age = 15x + 5 + 5 = 15x + 10 years Now, according to question, 10/3(x + 10) = 15x + 10 x = 2 So, present age of daughter = 2 + 5 = 7 years

Let the present age of son be x years. Then, present age of Kavita = 2x years Twenty years ago, Kavita's age = 2x - 20 years Now, according to question, 19/9(2x - 20) = 2x After solving the above equation, we get x = 19 So, the present age of son is 19 years.

Let A's age 2 years ago be 10x years and that of B be 9x years. So, 6 years hence, age of A = 10x + 2 + 6 = 10x + 8 years and age of B = 9x + 2 + 6 = 9x + 8 years Now, according to question, (10x + 8)/(9x + 8) = 14/13 After solving this equation, we get x = 2 So, present age of B = 9x + 2 = 9 x 2 + 2 => 20 years

Let the present age of Lila be 7x years and that of her daughter be 4x years. Now, according to question, 7x - 4x = 18 x = 3 So, present age of Lila = 7 x 3 = 21 years and that of her daughter = 4 x 3 = 12 years Now, age of Lila after 6 years = 21 + 6 = 27 years and that of her daughter = 12 + 6 = 18 years So, ratio their ages after 6 years = 27 : 18 = 3 : 2

Let the present age of A be 3x years and that of B be 5x years. 10 years ago, A's age = 3x -10 and B's age = 5x - 10 years Now, according to question, 3x - 10 = 1/5(5x - 10) After solving this equation, we get x = 4 So, sum of ages of A and B = 3 x 4 + 5 x 4 = 32 years

Let the present age of son be x years. Then, present age of man = 3x years 10 years ago, son's age = x - 10 years and man's age = 3x - 10 years Now, according to question, 8(x - 10) = 3x - 10 x = 14 So, present age of son = 14 years Therefore, present age of man = 14 x 3 = 42 years

Let the present age of son be x years and that of father be 4x + 1 years. After 1 year, son's age = x + 1 years and father's age = 4x + 1 + 1 = 4x + 2 years Now, according to question, 3(x + 1) + 6 = 4x + 2 x = 7 So, present age of father = 4 x 7 + 1 = 29 years

Let the present age of mother be x years. So, age of father = x + 6 years The average age of 3 sons is 12 years. Therefore, sum of the ages of 3 sons = 3 x 12 = 36 years Now, according to question, (36 + x + 6 + x)/5 = 22.8 x = 36 years So, the present age of mother is 36 years.

Let the present age of A be x years and that of B be y years. According to question, x + y = 11(x - y) -5x + 6y = 0 --------------------(1) Six years hence, age of A = x + 6 and that of B = y + 6 years Again, according to question, (x + 6) + (y + 6) = 15[(x + 6) - (y + 6)]

• 7x + 8y = -6 --------------------(2) On solving equations (1) and (2), we get x = 18 and y = 15 So, the age of the older person is 18 years. Correct Answer: 18 years

Let 5 years ago, grandson's age be x years and grandfather's age be 7.5x years. Now, after 15 years, grandson's age = x + 5 + 15 = x + 20 years and grandfather's age = 7.5x + 5 + 15 = 7.5x + 20 years Now, according to question, 20(x + 20)/7 = 7.5x + 20 x = 8 So, the present age of grandson = 8 + 5 = 13 years and that of the grandfather = 7.5 x 8 + 5 = 65 years One year ago, grandfather's age = 65 - 1 = 64 years and grandson's age = 13 - 1 = 12 years Now, ratio of their ages 1 year ago = 64 : 12 = 16 : 3

Let the present age of A be x years. So, present age of the son = x/3 years and A's father's age = 11x/6 years Now, according to question, (x + x/3 + 11x/6)/3 = 38 19x/18 = 38 x = 36 So, present age of A = 36 years Therefore, present age of A's son = 36/3 = 12 years and that of A's father = 11 x 36/6 = 66 years Now, difference between A's father age and A's son age = 66 - 12 = 54 years

Let the present age of Amit be x years and that of Anil be y years.

So, present age of father = 2x years

Now, sum of the ages of Amit and Anil is 27 years.

So, x + y = 27  -------------------(1)

After 4 years, father's age = 2x + 4 and Anil's age = y + 4

According to question,

2x + 4 =5/3(y + 4)

6x - 5y = 8 ------------------------(2)

After solving equations (1) and (2), we get

x = 13 and y = 14

So, the present age of Amit is 13 years.

Let the present age of son be 1x years, that of mother be 4x years, that of father be 5x years and that of grandfather be 11x years. According to question, (1x + 4x + 5x)/3 = 20 x = 6 So, present age of grandfather = 11 x 6 = 66 years