What is The Present Age of A ? If

Eighteen years ago, the ratio of A’s age to B’s age was 8 : 13. Their present ratios are 5 : 7. What is the present age of A ?

  1. 50 years
  2. 60 years
  3. 40 years
  4. 70 years
Anurag Mishra Professor Asked on 12th August 2015 in Maths.
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1 Answer(s)
Best answer

Answer: (1) 50 years

Explanation:-
The present ratio of A’s age and  B’s age = 5 : 7
Let the present age of A = 5 X  years  & the present age of B = 7 X years

Eighteen years ago, the ratio of A’s age to B’s age was 8 : 13.
Then, (5 X – 18) / (7 X – 18) = 8/13
13 x 5 X – 13 x 18 = 8 x 7 X  – 18 x 8
65 X – 234 = 56 X – 144
65 X – 56 X = 234 – 144
9 X = 90
X = 90/ 9
X = 10
Then, the present age of A is 5 X  = 5 x 10
= 50 years

Hence, the answer is (1) 50 years.

Anurag Mishra Professor Answered on 12th August 2015.
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