Multiple choice

Mr. Shyam was two times as old as his son 8 years ago. Their total age is 76 years now. How old (in years) is Mr. Shyam now?

  1. 36

  2. 48

  3. 30

  4. 40

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

Let son's current age be S, Shyam's current age be F. 8 years ago: son was S-8, Shyam was F-8. At that time, Shyam was twice as old: F-8 = 2(S-8), so F-8 = 2S-16, thus F = 2S-8. Currently: F + S = 76. Substituting: 2S-8 + S = 76, so 3S = 84, S = 28. Therefore F = 76 - 28 = 48. Shyam is currently 48 years old.