Difficulty: Medium
Correct Answer: 28 yr
Explanation:
Introduction / Context:Present multiplicative relation plus a future ratio gives two equations in one unknown (Purvi). Solve directly to find her current age.
Given Data / Assumptions:
Concept / Approach:Express Anil in terms of Purvi, substitute into the future ratio, and solve for P.
Step-by-Step Solution:
(1.5P + 8) / (P + 8) = 25 / 18.18(1.5P + 8) = 25(P + 8) ⇒ 27P + 144 = 25P + 200.2P = 56 ⇒ P = 28.Verification / Alternative check:
Anil now = 1.5*28 = 42. After 8 years ⇒ 50 and 36 ⇒ ratio 50:36 = 25:18 ✓Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:28 yr
Discussion & Comments