Multiple choice

One year ago, the ratio of the age (in years) of A to that of B was 4 : 3. The ratio of their respective ages, 3 years from now, will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now?

  1. 7 : 6

  2. 10 : 9

  3. 9 : 8

  4. 8 : 7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages 1 year ago be 4x and 3x. Current ages are 4x+1 and 3x+1. (4x+4)/(3x+4) = 6/5. 20x+20 = 18x+24, 2x=4, x=2. Current ages are 9 and 7. 9 years from now, they are 18 and 16. Ratio 18:16 = 9:8.

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