Multiple choice

Age of A is 4 times of B. B is (\frac{1}{3}) times of C. If the ratio of age of A and C become 13: 11 after 10 years then find the age of B after 8 years.

  1. 20 years

  2. 12 years

  3. 28 years

  4. 24 years
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B Correct answer
Explanation

Let B's current age = x. Then A = 4x, and C = 3x (since B = C/3, so C = 3B). After 10 years: A+10 : C+10 = 13:11, so (4x+10)/(3x+10) = 13/11. Cross-multiplying: 44x+110 = 39x+130, so 5x = 20, x = 4. B's current age is 4. After 8 years, B = 4+8 = 12 years.

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