Multiple choice

The sum of ages of A, B and C is 104 years. After 10 years, their ages will be in the ratio 27 : 21 : 19. What is the present age of B?

  1. 40 years

  2. 28 years

  3. 32 years

  4. 30 years

  5. 33 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sum of ages after 10 years = 104 + 30 = 134. Ratio 27:21:19 sums to 67. Each part = 134/67 = 2. B's age after 10 years = 21 * 2 = 42. Present age = 42 - 10 = 32.

AI explanation

The total present age of A, B, and C is 104 years, so their total age after 10 years will be 104 + 30 = 134 years. Let their ages after 10 years be 27x, 21x, and 19x, which sums to 67x. Equating the total gives 67x = 134, so x = 2. B's age after 10 years will be 21 times 2 = 42 years. Therefore, B's present age is 42 - 10 = 32 years.

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