Ages (marriage reference and fractional multiple): Radha married 6 years ago. Today her age is 1.25 times her age at marriage. Her son's age is one-tenth of her present age. Find the son's age.

Difficulty: Easy

Correct Answer: 3 years

Explanation:


Introduction / Context:
Here a fractional multiplier ties present age to a past age (at marriage), followed by a simple fraction for the child's age.


Given Data / Assumptions:

  • Let marriage age be x years.
  • Present age = 1.25 * x = (5/4) * x.
  • Also, present age = x + 6 (since marriage was 6 years ago).
  • Son's age = (1/10) * present age.


Concept / Approach:
Equate the two expressions for present age to find x, then compute present age and take one-tenth for the son.


Step-by-Step Solution:

1) x + 6 = (5/4) * x. 2) Multiply both sides by 4: 4x + 24 = 5x → x = 24. 3) Present age = x + 6 = 30. 4) Son's age = (1/10) * 30 = 3 years.


Verification / Alternative check:
Check multiplier: (5/4) * 24 = 30, matching the present age used to compute the son's age.


Why Other Options Are Wrong:
They correspond to incorrect algebra (e.g., treating 1.25x as x + 1.25).


Common Pitfalls:
Forgetting that “married 6 years ago” means present age exceeds marriage age by exactly 6 years, not 6%.


Final Answer:
3 years

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion