Difficulty: Easy
Correct Answer: 60 years
Explanation:
Introduction / Context:
This is a direct algebraic translation of a sentence involving subtraction and division. The key is to determine Anup’s age from Mahesh’s and then back-solve for Randheer, ensuring the arithmetic order (subtract then divide) is preserved.
Given Data / Assumptions:
Concept / Approach:
Compute Anup first, then treat the given as a linear equation in R. Multiplying both sides by 18 after substituting Anup gives Randheer's age explicitly.
Step-by-Step Solution:
Verification / Alternative check:
Check: (60 − 6) / 18 = 54/18 = 3 years, which matches Anup.
Why Other Options Are Wrong:
96/84/48 are incompatible with the linear relation after plugging Anup = 3.
Common Pitfalls:
Dividing first or misreading the phrase as 18/(R − 6); the statement clearly means subtract then divide.
Final Answer:
60 years
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