Multiple choice

The ratio of the ages of R and S 15 years ago was 3 : 2. The sum of their present ages is 130 years. Find R’s present age (in years) ?

  1. 75

  2. 80

  3. 85

  4. 90

  5. None of these
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A Correct answer
Explanation

Let ages 15 years ago be 3x and 2x. Present ages: (3x+15) and (2x+15). Sum: 5x + 30 = 130. 5x = 100, x = 20. R's present age = 3(20) + 15 = 75.

AI explanation

Fifteen years ago, the sum of their ages was 130 minus 30, which is 100 years. Based on the ratio 3 to 2, R's age fifteen years ago was 100 times 3 divided by 5, giving 60 years. R's present age is 60 plus 15, which is 75 years.

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