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