Multiple choice

15 months ago Tuhin's age was equal to three times the age of Sambit, who is 6 months older than Soumik. After 5 months from today Tuhin's age will be equal to 2.5 times Soumik's age. What is the sum of his present age?

  1. 15 years 5 months

  2. 15 years 11 months

  3. 15 years 7 months

  4. 15 years 9 months

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

Let present ages be T (Tuhin), S (Sambit), M (Soumik). Given: S = M + 0.5. 15 months ago: T-1.25 = 3(S-1.25). In 5 months: T+0.417 = 2.5(M+0.417). Solving gives T+S+M = 15.75 years = 15 years 9 months.