Multiple choice

Hitesh is 40 years old and Rohit is 60 years old. How many years ago was the ratio of their ages 3 : 5?

  1. $5$ years
  2. $10$ years
  3. $20$ years
  4. $37$ years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the number of years ago. (40-x)/(60-x) = 3/5. 5(40-x) = 3(60-x) -> 200-5x = 180-3x -> 20 = 2x -> x = 10.

AI explanation

Let the number of years ago be x, making their ages at that time (40 - x) and (60 - x). Based on the given ratio, the equation is (40 - x) / (60 - x) = 3 / 5. Cross-multiplying results in 200 - 5x = 180 - 3x, which simplifies to 2x = 20 and x = 10. The ratio was 3:5 exactly 10 years ago.

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