Multiple choice

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

  1. 20 years

  2. 5 years

  3. 10 years

  4. 37 years

  5. None
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x 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 be x, making the equation (40 minus x) divided by (60 minus x) equal to 3 divided by 5. Cross multiplying gives 200 minus 5x equals 180 minus 3x. Solving this yields 20 equals 2x, so x is 10 years.

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