Home › X and Y's present ages are 5:6. After 7 years th…
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_
Related questions
Father is aged three times more than his son Sunil. After 8 years, he would be two and a hThe sum of the present ages of two cousins is 54 years. Eleven years ago, the older one waThe age of a mother 10 years ago was thrice her son's age. 10 years hence, her age will beFive years ago a man's age was 3 more than 4 times his son's age. After 3 years from now,