X and Y's present ages are 5:6. After 7 years the ratio is 6:7. X's present age (years):
A35
B42
C49
D40
Answer & Solution
Correct answer: A. 35
1. Let X = 5k, Y = 6k. After 7 years: (5k+7)/(6k+7) = 6/7.
2. Cross-multiply: 7(5k+7) = 6(6k+7) → 35k + 49 = 36k + 42 → k = 7.
3. X = 5 × 7 = 35.
_Source: KMAT Karnataka 2023 PYQ Q.41_
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