Multiple choice

10 years ago the ratio of ages of A and B is 2 : 3. The sum of present age of A and B is 60 years so find the ratio of their ages after 5 years.

  1. $19 : 25$
  2. $25 : 19$
  3. $39 : 31$
  4. $31 : 39$
  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A's and B's ages 10 years ago be 2x and 3x. Their present ages are (2x+10) and (3x+10). Given (2x+10)+(3x+10)=60, we get 5x=40, so x=8. Present ages: A=26, B=34. After 5 years: A=31, B=39. The ratio is 31:39. Option D matches this calculation.