Problem on Age

Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?

A. 45
B. 40
C. 35
D. 30

Answer : Option C

Explanation :

Let the present age of P and Q be 3x and 4x respectively.
Ten years ago, P was half of Q's age
=> (3x – 10) = 1

2
(4x – 10)
=> 6x – 20 = 4x – 10
=> 2x = 10
=> x = 5
total of their present ages = 3x + 4x = 7x = 7 × 5 = 35