Multiple choice

The ratio of Preeti’s age to Komal’s age is 7 : 12. If after 7 years they meet, then Komal said her age is 15 years more than double of Preeti’s age 15 years ago from then. Find the ratio of Preeti’s age 10 years later to Komal’s age 10 years ago.

  1. 1 : 1

  2. 2 : 3

  3. 1 : 2

  4. 3 : 1

  5. None of these
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A Correct answer
Explanation

Let Preeti's age = 7x and Komal's age = 12x. After 7 years: Preeti = 7x+7, Komal = 12x+7. Komal's statement: 'her age is 15 years more than double of Preeti's age 15 years ago from then' means: 12x+7 = 2(7x+7-15) + 15. Solving: 12x+7 = 2(7x-8) + 15 = 14x-16+15 = 14x-1. So 12x+7 = 14x-1, giving 2x = 8, x = 4. Preeti = 28, Komal = 48. Preeti 10 years later = 38, Komal 10 years ago = 38. Ratio = 38:38 = 1:1. Option B (2:3), C (1:2), D (3:1) are wrong.

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