Multiple choice

5 years ago, the ratio of A’s and B’s age is 5 : 4 . The sum of the present ages of A , B and C is 110 years . If C’s present age is equal to the sum of present ages of A and B . What is the present age of A ?

  1. 30 years

  2. 25 years

  3. 35 years

  4. 55 years

  5. None of These
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A Correct answer
Explanation

5 years ago: A=5x, B=4x. Present: A=5x+5, B=4x+5. Given C=A+B and A+B+C=110. So 2(A+B)=110, A+B=55. Then 9x+10=55, x=5. Present age of A = 5(5)+5 = 30 years.

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