Grandfather–grandson relation via division: If (Randheer’s present age − 6) divided by 18 gives his grandson Anup’s present age. Anup is 2 years younger than Mahesh, whose age is 5 years. Find Randheer’s age.

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:

• Mahesh = 5 years.
• Anup is 2 years younger ⇒ Anup = 3 years.
• (Randheer − 6) / 18 = Anup.

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