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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?
  1. 18 years
  2. 24 years
  3. 28 years
  4. None of these
Explanation
Let the ages today be 4x and 7x  
So 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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