Question 55

The ratio of the ages of X and Y three years ago was 4:5 and that after three years will be 5:6. Then the sum of the ages of X and Y is

Solution

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Let the ages of X and Y 3 years ago be 4x and 5x. Ages 6 years from then are 4x+6 and 5x+6

But 4x+6:5x+6 = 5:6

Solving we get the answer as x = 6

Sum of today's ages = 4x + 5x + 6 = 9x + 6 = 60 years

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