Multiple choice

7 years ago age of A was 2.5 times age of B. One year hence age of A will be only 1.5 times of the age of B. Find the ratio of age of A & B four year hence.

  1. 2 : 3

  2. 8 : 5

  3. 5 : 7

  4. 7 : 3

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

Let A's and B's current ages be a and b. Seven years ago: a-7 = 2.5(b-7). One year hence: a+1 = 1.5(b+1). Solving: a - 7 = 2.5b - 17.5 gives a = 2.5b - 10.5. Substituting: 2.5b - 10.5 + 1 = 1.5b + 1.5, so b = 6 and a = 4.5. Four years hence: a+4 : b+4 = 8.5 : 10 = 17:20. This is not in options A-D, so 'None of these' (E) is correct.

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