Multiple choice

The ratio of A's age three years ago and B's age five years ago is (4 : 5). If A is 5 years younger than B, find the present age of B (in years).

  1. 20

  2. 15

  3. 25

  4. 30

  5. 35
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A's present age be a and B's present age be b. Given a = b - 5. Three years ago A was a-3, five years ago B was b-5. Ratio (a-3):(b-5) = 4:5. Substituting a = b - 5: (b-8):(b-5) = 4:5. Cross-multiply: 5(b-8) = 4(b-5), so 5b-40 = 4b-20, giving b = 20. B is 20 years old now.

Keep practicing — related questions