Multiple choice

The average of the age of A, B and C is 35 years. After 5 years A will be two and half times as old as B who will be twice as old as C. Find the present age of C (in years). A, B और C की औसत आयु 35 वर्ष है। 5 वर्ष पश्चात् A, B की आयु का ढाई गुना हो जाता है जो कि C की आयु का दोगुना होगा| C की वर्तमान आयु (वर्षों में) ज्ञात कीजिए ।

  1. 15

  2. 10

  3. 20

  4. 25

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

Let current ages be A, B, C. A + B + C = 35 × 3 = 105. After 5 years: (A + 5) = 2.5 × (B + 5) and (B + 5) = 2 × (C + 5). From second equation: B = 2C + 5. Substituting in first: A + 5 = 2.5(2C + 10) = 5C + 25, so A = 5C + 20. Using sum: (5C + 20) + (2C + 5) + C = 105, giving 8C = 80, so C = 10. Option B is correct.