Multiple choice

The ratio between the present ages of A and B is 4:5. If the ratio between their ages four years hence becomes 14:17, what is the B's age at present?

  1. 30

  2. 28

  3. 34

  4. Data inadequate
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A's age be 4x and B's age be 5x. Four years hence, their ages will be (4x+4) and (5x+4). The ratio becomes (4x+4)/(5x+4) = 14/17. Cross-multiplying: 17(4x+4) = 14(5x+4), which gives 68x + 68 = 70x + 56. Solving: 2x = 12, so x = 6. B's present age is 5*6 = 30.

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