The ratio of present ages of A and is 7 : 8. After 6 years from now, the ratio of their ages will be 8 : 9. If C's present age is 10
years more than the presentage of A, then the present age (in years) of C is:
This questions was previously asked in
SSC CGL 17th August 2021 Shift-3
Explanation:
- Let's denote A's present age as 7x and B's as 8x, based on their ratio.
- In 6 years, A's age will be 7x + 6 and B's age will be 8x + 6.
- According to the future age ratio:
\((7x + 6)/(8x + 6) = 8/9\).
- Solving, we find \(9(7x + 6) = 8(8x + 6)\).
- Simplifying the equation gives 63x + 54 = 64x + 48.
- This reduces to \(x = 6\).
- Thus, A's present age is \(7x = 42\).
- C is 10 years older than A, so C is \(42 + 10 = 52\).
Option 2: 52 is correct.
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