Quantitative Questions on Ages pt. 1

Q1. The sum of the ages of A and B is 63 years. After 6 years, the age of B will be four times that of the A. What is the age of B?



(a) 46 Years
(b) 50 Years
(c) 53 Years
(d) 60 Years

Answer: (c) 53 Years

Let the Present Age of A is x years

So the Present Age of B = (63 – x) Years

After 6 Years,

(63 – x) + 6 = 4(x + 6)

69 – x = 4x + 24

5x = 45

x = 9

So the present age of B is = (63 – x)= 63 – 9= 53 Years



Q2. Rohit is twice as old as Rakesh was two years ago. If the difference between their ages be 4 years, how old is Rohit today?



(a) 5 Years
(b) 8 Years
(c) 10 Years
(d) 12 Years

Answer: (d) 12 Years

Let the age of Rakesh two year ago is x years

So the Present Age of Rohit is 2x Years and Present age of Rakesh is (x + 2) Years

So,

2x – (x + 2) = 4

2x – x – 2 = 4

x = 6

So the present age of Rohit is = 2 X 6 = 12 Years



Q3. The sum of the ages of 4 children born at the intervals of 3 years each is 42 years. What is the age of the youngest child ?



(a) 4 Years
(b) 6 Years
(c) 9 Years
(d) 10 Years

Answer: (b) 6 Years

Let the age of the youngest child is x years. So the age of other childs will be (x + 3), (x + 6) and (x + 9)

x + (x + 3) + (x + 6) + (x + 9) = 42

4x = 42 – 18

x = 6

So the age of the youngest child is = 6 Years



Q4. A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27 years, then how old is B ?

(a) 9 Years
(b) 10 Years
(c) 7 Years
(d) 8 Years

Answer: (b) 10 Years

Let the age of C be x years, then the age of B = 2x and age of A = 2x + 2

Then, x + 2x + 2x + 2 = 27

5x = 25

x = 5

So the age of the B is = 2x = 2 X 5 = 10 Years



Q5. The sum of the present ages of a father and his son is 60 years. Six year ago, father’s age was five times the age of the son. After 6 years, son’s age will be ?

(a) 12 Years
(b) 16 Years
(c) 20 Years
(d) 24 Years

Answer: (c) 20 Years

Let the present age of son is x, so the age of father will be (60 – x)

Then, six years ago

(60 – x) -6 = 5(x – 6)

6x = 84

x = 14

So the age of son after 6 years = (x + 6) = 14 + 6 = 20 Years