Multiple choice

The present age of a father is equal to the sum of the ages of his 5 children .12 years hence the sum of the ages of his children will be twice the age of their father. Then the present age of father is- एक पिता की वर्तमान आयु उसके 5 बच्चों की आयु के योग के बराबर है। 12 वर्ष बाद बच्चों की आयु का योग उनके पिता की आयु का दोगुना हो जायेगा। तो पिता की वर्तमान आयु है।

  1. 40 years/वर्ष

  2. 38 years/वर्ष

  3. 36 years/वर्ष

  4. 35 years/वर्ष

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let father's present age = F and sum of children's present ages = 5C. Given F = 5C. After 12 years: 5(C+12) = 2(F+12). Substituting F = 5C: 5C + 60 = 2F + 24 = 10C + 24. Solving: 60 - 24 = 10C - 5C, so 36 = 5C, therefore C = 7.2 and F = 5 × 7.2 = 36 years. The father's present age is 36 years.