Present & Past — “Govind is 48, which is twice his son Prem’s current age. How old was Prem seven years ago?”

Difficulty: Easy

Correct Answer: 17

Explanation:


Introduction / Context:
A present multiplicative relation lets us find Prem’s current age, after which we step back 7 years to answer the question directly.


Given Data / Assumptions:

  • Govind (father) now = 48.
  • “Twice as old as Prem now” ⇒ 48 = 2 * Prem_now.
  • Asked: Prem 7 years ago.


Concept / Approach:
First solve for Prem_now by halving 48, then subtract 7 for the past age.


Step-by-Step Solution:

Prem_now = 48 / 2 = 24.Prem_7_years_ago = 24 − 7 = 17.


Verification / Alternative check:
Adding back 7 to 17 returns 24, consistent with “Govind is twice Prem now” since 2 * 24 = 48.


Why Other Options Are Wrong:
16/13/18/19 do not equal 24 − 7.


Common Pitfalls:
Subtracting from 48 instead of from Prem’s age; misreading “twice” as “two more.”


Final Answer:
17

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