General Aptitude › Problems on Ages › Question #4390
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QThe ages of A and B are in the ratio 6: 5 and the sum of their ages is 44 years. What will be the ratio of their ages after 8 years?

ID: #4390 Problems on Ages 154 views
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  • A 7 : 6 ✔ ✖
  • B 8 : 7 ✔ ✖
  • C 9 : 8 ✔ ✖
  • D 3 : 4 ✔ ✖
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Explanation

Let the present ages of A and B be 6x and 5x years respectively. The sum of their ages is (6x + 5x) = 44 years. Solving this equation for x, we get x = 4. Substituting this value in the expressions for the present ages of A and B, we get that their present ages are 6 * 4 = 24 years and 5 * 4 = 20 years respectively. After 8 years, the ages of A and B will be (24 + 8) and (20 + 8) years respectively. The ratio of their ages after 8 years will be (24 + 8) : (20 + 8) = 32 : 28 = 8 : 7. Therefore, the ratio of their ages after 8 years will be 8:7.

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