Multiple choice

The ratio of present ages of Sahil and his brother Arun is 3 : 7. Five years ago, Arun's age was three times Sahil's age. Find the difference between their present ages.

  1. 25 years

  2. 30 years

  3. 20 years

  4. 22 years

  5. 45 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages be 3x and 7x. Five years ago: (7x - 5) = 3(3x - 5). 7x - 5 = 9x - 15, so 2x = 10, x = 5. Ages are 15 and 35. Difference is 35 - 15 = 20.

AI explanation

Let the present ages of Sahil and Arun be 3x and 7x. Five years ago, their ages were 3x - 5 and 7x - 5, so setting Arun's age to three times Sahil's age gives 7x - 5 = 3(3x - 5). Expanding yields 7x - 5 = 9x - 15, meaning 2x = 10 and x = 5. Their present ages are 15 and 35, so the difference between them is 20 years.

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