Multiple choice

Manish is twice the age of Mayank and the ratio becomes 5:3 after 5 years. Find the ratio of their ages 5 years ago?

  1. $1 : 3$
  2. $2 : 3$
  3. $3 : 1$
  4. $3 : 2$
  5. $7 : 5$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Mayank's age = x, Manish's age = 2x. After 5 years: (2x+5)/(x+5) = 5/3. Cross-multiply: 3(2x+5) = 5(x+5). 6x+15 = 5x+25, so x = 10. Current ages: Manish = 20, Mayank = 10. Five years ago: Manish = 15, Mayank = 5. Ratio = 15:5 = 3:1.

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