Multiple choice

The ratio of the present ages of A and B is (7 : 5). After seven years, the ratio of their ages will be (21 : 16). C is five years older than A. What will be the age of C after five years?

  1. 35 years

  2. 43 years

  3. 38 years

  4. 40 years

  5. None of these
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let A=7x, B=5x. After 7 years: (7x+7)/(5x+7)=21/16. Cross-multiply: 16(7x+7)=21(5x+7), giving 112x+112=105x+147, so 7x=35 and x=5. A=35, B=25. C is 5 years older than A, so C=40. After 5 years, C will be 45. None of A-D match 45, so E is correct.

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