Ages — present and future ratios (Maya and Chhaya): Now, Maya:Chhaya = 6:5. Fifteen years from now the ratio becomes 9:8. Find Maya’s present age.
Verbal Reasoning
Problems on Ages
Difficulty: Easy
Choose an option
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A21 yr
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B24 yr
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C30 yr
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D40 yr
Answer
Correct Answer: 30 yr
Explanation
Introduction / Context:Two-person present and future ratios determine a single scale factor for current ages. Solve for that factor to get Maya’s age.
Given Data / Assumptions:
- Present Maya:Chhaya = 6:5 ⇒ Maya = 6x, Chhaya = 5x.
- After 15 years: (6x + 15) : (5x + 15) = 9 : 8.
Concept / Approach:Cross-multiply and solve for x; Maya = 6x.
Step-by-Step Solution:
8(6x + 15) = 9(5x + 15).48x + 120 = 45x + 135 ⇒ 3x = 15 ⇒ x = 5.Maya = 6x = 30 years.Verification / Alternative check:
Future: 45 : 40 = 9 : 8 ✓Why Other Options Are Wrong:
- 21, 24, 40 are inconsistent with the solved scale factor.
Common Pitfalls:
- Mixing up the ratio order (numerator vs denominator).
Final Answer:30 yr