Multiple choice

The ratio of present ages of Kunal and Deepesh is $3 : 5$. After $10$ years this ratio becomes $5 : 7$. What is the present age of Deepesh?

  1. $20$ years
  2. $25$ years
  3. $50$ years
  4. $15$ years
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B Correct answer
Explanation

Let ages be 3x and 5x. (3x+10)/(5x+10) = 5/7. 21x+70 = 25x+50 => 4x = 20 => x = 5. Deepesh's age is 5x = 25.

AI explanation

Let the present ages of Kunal and Deepesh be 3x and 5x. After 10 years their ages will be 3x + 10 and 5x + 10, giving the proportion (3x + 10)/(5x + 10) = 5/7. Cross-multiplying yields 21x + 70 = 25x + 50, meaning 4x = 20 and x = 5. Deepesh's present age is 5x, which is 25 years.

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