Problems on Ages
Q31. One year ago, Ram was 8 times as old as his son. Now his age is equal to the square of his son's age. The present age of Ram will be.
(a) 40 years
(b) 42 years
(c) 45 years
(d) 49 years
Answer: (d) 49 years
Let, the present age of Son's be x years
∴ the present age of Ram's be 8 (x - 1) + 1 = 8x - 7
A/Q 8x - 7 = x2
⇒ x2 - 8x + 7 = 0
⇒ x2 - 7x - x + 7 = 0
⇒ x(x - 7) - 1(x - 7) = 0
⇒ (x - 7) (x - 1) = 0
∴ x = 7 , x = 1
∴ Ram's present age = 8 X 7 - 7 = 56 - 7 = 49 years
Q32. Kamala got married 6 years ago. Today her age is 1¼ times her age at the time of marriage. Her son's age is 1/15 times her age. Her son's age is
(a) 2 years
(b) 3 years
(c) 4 years
(d) 5 years
Answer: (a) 2 years
Let, 6 years ago Kamala's age be x years
∴ Kamala's present age = x + 6 years
A/Q x + 6 = 1¼ x
⇒ x + 6 = 5x/4
⇒ 4x + 24 = 5x
⇒ x = 24
∴ Kamala's present age = 24 + 6 = 30 years
∴ Son's present age = 30 X 1/15 = 2 years
Practice Test Exam