Mother–father–child relations – Your mother is 4 years younger than your father, and your father is 6 times as old as you. If you are 6 years old, what is your mother’s age?

Difficulty: Easy

Correct Answer: 32 years

Explanation:


Introduction / Context:
This item mixes a multiplicative relation (father relative to child) with an offset relation (mother relative to father). It is a straightforward two-step computation once the child’s current age is known.



Given Data / Assumptions:

  • Child's present age = 6 years.
  • Father = 6 × child = 36 years.
  • Mother = father − 4 years.


Concept / Approach:
Compute the father’s age from the multiplier, then subtract 4 to get the mother’s age.



Step-by-Step Solution:
Father = 6 × 6 = 36 years.Mother = 36 − 4 = 32 years.



Verification / Alternative check:
Mother + 4 = 36 confirms she is 4 years younger than father.



Why Other Options Are Wrong:
They do not satisfy both constraints simultaneously.



Common Pitfalls:
Reading “six times older” incorrectly; in aptitude context it is taken as “six times as old.”



Final Answer:
32 years

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