Multiple choice

The ratio of the present ages of A and B is 2 : 3. Four years hence, ratio of their ages will be 5 : 7 respectively. What is the present age of A?

  1. 24 years

  2. 20 years

  3. 21 years

  4. 16 years

  5. None of these

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

Let A's present age be 2x and B's be 3x. After 4 years, (2x+4)/(3x+4) = 5/7. Cross-multiply: 7(2x+4) = 5(3x+4), which gives 14x+28 = 15x+20, so x=8. A's present age = 2*8 = 16 years. Option D is correct.