Ages — connecting three people across two relations: Manoj:Wasim = 3:11 now. Wasim is 12 years younger than Rehana, and Rehana will be 85 after 7 years. Find the present age of Manoj’s father who is 25 years older than Manoj.

Difficulty: Medium

Correct Answer: 43 yr

Explanation:


Introduction / Context:
This chain problem links Manoj to Wasim, Wasim to Rehana, and then adds a fixed offset for Manoj’s father. Work backward from Rehana.


Given Data / Assumptions:

  • Rehana in 7 years = 85 ⇒ Rehana now = 78.
  • Wasim is 12 years younger than Rehana ⇒ Wasim = 66.
  • Manoj:Wasim = 3:11 ⇒ Manoj = (3/11)*66 = 18.
  • Manoj’s father = Manoj + 25.


Concept / Approach:
Sequential substitution from the farthest known (Rehana’s future) to the target (Manoj’s father).


Step-by-Step Solution:

Rehana now = 85 − 7 = 78.Wasim = 78 − 12 = 66.Manoj = (3/11)*66 = 18.Father = 18 + 25 = 43.


Verification / Alternative check:

All relations are satisfied numerically.


Why Other Options Are Wrong:

  • 67, 45, 69 conflict with the chain of deductions.


Common Pitfalls:

  • Taking “12 years younger” in the wrong direction.
  • Using 85 as Rehana’s current age instead of future age.


Final Answer:
43 yr

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