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.

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:

  • 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:

Anup = 3(R − 6)/18 = 3 ⇒ R − 6 = 54 ⇒ R = 60


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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