Multiple choice

The ratio of present ages of P and Q is 5 : 8. Three years later, their ages will be in ratio 8 : 11. What is the present age (in years) of Q?

  1. 5

  2. 11

  3. 14

  4. 8
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be 5x and 8x. (5x+3)/(8x+3) = 8/11. 55x + 33 = 64x + 24. 9x = 9, x = 1. Q's present age = 8x = 8.

AI explanation

Let the present ages of P and Q be 5x and 8x respectively. Three years later, their ages will be 5x + 3 and 8x + 3, which are in the ratio 8 : 11. This gives the linear equation 11(5x + 3) = 8(8x + 3), so 55x + 33 = 64x + 24, which means 9x = 9 and x = 1. The present age of Q is 8x, which equals 8 years.

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