The ages of two persons P and Q are in the ratio 5 : 7 Eight years ago, the ratio of P and Q was 7 : 13. The present ages of P and Q, respectively, are:

Options
a) 15 and 21 years
b) 20 and 28 years
c) 21 and 15 years
d) 12 and 13 years

Solution

As per question
Present age P : Q = 5 : 7
8 years ago age P : Q = 7 : 13
Let’s assume present age P = 5x
present age Q = 7x
8 years ago,
P’s age = 5x – 8
Q’s age = 7x – 8

65x – 104 = 49x – 56
16x = 48
x = 3
Present age P = = 15 years
Present age Q = = 21 years

Ans : a) 15 and 21 years