Multiple choice

Vijender is 45 years old and Hemant is 42 years old. How many years ago was the ratio of their ages 3 : 1?

  1. 40 years 6 months

  2. 40 years

  3. 41 years 6 months

  4. 41 years

  5. None of these
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A Correct answer
Explanation

Let x be the number of years ago. (45-x)/(42-x) = 3/1. 45-x = 126 - 3x. 2x = 81. x = 40.5 years, which is 40 years and 6 months.

AI explanation

Let the number of years ago be y, giving the ratio (45 - y) / (42 - y) = 3 / 1. Cross-multiplying yields 45 - y = 126 - 3y, which simplifies to 2y = 81 and y = 40.5. This means the ratio was 3 : 1 exactly 40 years and 6 months ago.

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