The ages of A and B are in the ratio 3 : 1. Fifteen years hence, the ratio will be 2 : 1. Their present ages are respectively:
Given:
The present ages of A and B are in the ratio 3 : 1.
Fifteen years later, their ages will be in the ratio 2 : 1.
Solution:
Let:
Present age of A = 3x
Present age of B = x
After 15 years:
Age of A = 3x + 15
Age of B = x + 15
Now,
3x + 15 = 2(x + 15)
3x + 15 = 2x + 30
x + 15 = 30
x = 15
Present age of A = 3x = 315 = 45 years
Present age of B = x = 15 years
The present ages of A and B are 45 years and 15 years respectively.
Option (D) is right.
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