Question
Six years ago, the age ratio of A to B was 5:6. In nine
years, their age ratio will become 8:9. Determine the difference between their current ages.Solution
6 years ago, Let the age of A = 5x years
Age of B = 6x years
According to the question,
(5x + 15):(6x + 15) = 8:9
45x + 135 = 48x + 120
x = 5
Present age of A = 5 × 5 + 6 = 31 years
Present age of B = 6 × 5 + 6 = 36 years
Required difference = 36 – 31 = 5 years
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