Multiple choice

\text{Ratio of A and B is in the ratio } 5 : 8. \text{ After 6 years, the ratio of ages of A and B will be in the ratio } 17 : 26. \text{ Find the present age of B?}

  1. 72

  2. 65

  3. 77

  4. 60

  5. None of these

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A Correct answer
Explanation

Let ages be 5x and 8x. After 6 years: (5x+6)/(8x+6)=17/26. Cross-multiplying: 26(5x+6)=17(8x+6), so 130x+156=136x+102, giving 6x=54 and x=9. B's present age = 8×9=72.