The ratio of the ages of A and B, four years ago, was 4 : 5. Eight years from now, the ratio of the ages of A and B will be 11 : 13. What is the sum of their present ages?
Show answer & explanation
Correct answer: C
Explanation
Correct answer is option 3 i.e. 80 years
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Understanding |
Application |
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Ratio of the ages of A and B four years ago was 4 : 5 Let Present Age of A = 4x + 4 Present Age of B = 5x + 4
Eight years from now, the ratio of the ages of A and B will be 11 : 13 |
After 8 years from now: (4x + 4 + 8) : (5x + 4 + 8) = 11 : 13 ⇒ (4x + 12)/(5x + 12) = 11/13 ⇒ 52x + 156 = 55x + 132 ⇒ 3x = 24 ⇒ x = 8 Hence, Sum of their present age = 9x + 8 = 80 years |