The ages of two persons are in the ratio 4:7. After 12 years, their age ratio will be 2:3. What is the age of the younger person today?
- 18 years
- 24 years
- 28 years
- None of these
Explanation
Let the ages today be 4x and 7xSo younger age = 4x and older age = 7x
After 12 years
Younger age = 4x + 12
Older age = 7x + 12
New ratio is 2:3
So (4x + 12) / (7x + 12) = 2 / 3
Cross multiply
3(4x + 12) = 2(7x + 12)
12x + 36 = 14x + 24
36 - 24 = 14x - 12x
12 = 2x
x = 6
Younger age today = 4x = 4 x 6 = 24
Last verified on 05-09-2026
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