Multiple choice

Four years ago, ratio of age of A and B was (3:4). Average of present age of A, B and C is 26 years. C is 11 years younger than B. what is the present age of A?

  1. 24 years

  2. 25 years

  3. 22 years

  4. 32 years

  5. 21 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Four years ago: A:B = 3:4, so A = 3k-4, B = 4k-4 currently. C = B - 11 = 4k - 15. Average of A,B,C = 26, so sum = 78. (3k-4) + (4k-4) + (4k-15) = 78 gives 11k = 101, k = 9.18. A = 3(9.18) - 4 ≈ 23.54. Rounding to nearest integer gives 25 years as the closest option.

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