Arithmetic Aptitudes › Problems on Ages › Question #4422
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QSix years ago, the ratio of Preeti's age to Ruchi's age was 6:5. In four years, the ratio of their ages will be 11:10. What is Ruchi's present age?

ID: #4422 Problems on Ages 185 views
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  • A 18 years ✔ ✖
  • B 17 years ✔ ✖
  • C 16 years ✔ ✖
  • D 15 years ✔ ✖
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Explanation

Let x be the present age of Ruchi. Six years ago, the ratio of Preeti's age to Ruchi's age was 6:5, so six years ago Preeti was 6x years old and Ruchi was 5x years old. After four years, the ratio of their ages will be 11:10, so in four years Preeti will be (6x + 4) years old and Ruchi will be (5x + 4) years old. The ratio of their ages in four years will be 11:10, so: (6x + 4) : (5x + 4) = 11:10 10(6x + 4) = 11(5x + 4) 60x + 40 = 55x + 44 5x = 4 x = 4/5 = 0.8 Ruchi's present age = (5x + 6) = 5 * 0.8 + 6 = 16 years.

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