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The ratio of A and B's ages is 6:5. After 5 years, it becomes 9:8. What is their age difference?
  1. 5 years
  2. 6 years
  3. 10 years
  4. 8 years
Explanation

Given:

- Ratio of ages of A and B = 6 : 5  

- After 5 years, ratio = 9 : 8  

Let the ages be:

A = 6x  

B = 5x  

After 5 years:

(A + 5) / (B + 5) = 9 / 8

=> (6x + 5) / (5x + 5) = 9 / 8

Cross multiply:

8(6x + 5) = 9(5x + 5)  

48x + 40 = 45x + 45  

48x - 45x = 45 - 40  

3x = 5  

x = 5 / 3

Age difference = A - B = 6x - 5x = x = 5/3 years


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