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Age Ratio Problem

MAT 2018 · Mathematical Skills · Easy · Ratio and Proportion

All MAT 2018 questionsMore Ratio and Proportion questionsAll MAT MS

The ratio of the ages of Anjali and Smita is 2:32 : 3. After 6 years the ratio of their ages becomes 5:75 : 7. What is the present age of Smita?

  1. A.

    24 years

  2. B.

    30 years

  3. C.

    36 years

  4. D.

    18 years

Answer

C

Explanation

Let present ages of Anjali and Smita be 2x2x and 3x3x respectively. After 6 years: 2x+63x+6=57\frac{2x + 6}{3x + 6} = \frac{5}{7} 7(2x+6)=5(3x+6)7(2x + 6) = 5(3x + 6) 14x+42=15x+30  ⟹  x=1214x + 42 = 15x + 30 \implies x = 12 Smita's present age = 3x=3×12=363x = 3 \times 12 = 36 years.

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