Ages (marriage-time multiplier and sibling offset): Ram married 8 years ago. His present age is 6/5 times his age at marriage. Ram's sister was 10 years younger than him at his marriage. Find the sister's present age.

Introduction / Context:Here, a multiplicative relation connects Ram's present age to his marriage age, and a sibling offset is anchored to the same marriage time. Walking through the timeline consistently yields the sister's present age.

Given Data / Assumptions:

• Let Ram's marriage age be x; present age = (6/5)x.
• Since marriage was 8 years ago, present age also equals x + 8.
• At marriage, sister's age = x − 10.

Concept / Approach:First find x by equating x + 8 with (6/5)x. Then add 8 years to the sister's marriage-time age to get her age today.

Step-by-Step Solution:

Verification / Alternative check:Ram today is (6/5)*40 = 48, and was 40 at marriage, exactly 8 years earlier (✓). Sister's present age follows consistently.

Why Other Options Are Wrong:They result from algebraic slips (e.g., treating 6/5 as 5/6) or misapplying the 10-year offset and 8-year shift.

Common Pitfalls:Confusing who is 10 years younger at marriage (sister vs. Ram) and mixing up the 8-year advancement.

Final Answer:38 years