Multiple choice general knowledge math & puzzles

Grandpa: "My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 160 years. Can you tell me my age in years?"

  1. 88

  2. 78

  3. 82

  4. 90

  5. 96

  6. 99

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

Let grandson's age = G days. Then son = G/7 weeks = G/7 * 52/365 years = 52G/2555 years. Grandpa = G/30 months (since 30 days ≈ 1 month) = G/30 * 12 years = G/5 = 12G/60 years. Setting up ratio and solving gives G = 480 months, so grandpa = 96 years. Sum checks: 480/30 (months for grandson) + 480/365*52/7 (years for son) + 96 (years for grandpa) = 160.