Question
Eight years ago, the ratio of ages of 'L' and 'M' was 5:6.
Ten years from now, their ages will be in the ratio 7:8. Find the present age of 'T' who is 4 years younger than 'M'.Solution
ATQ,
Let the age of 'L' and 'M', eight years ago be '5a' and '6a' years, respectively.
So, (5a + 8 + 10) : (6a + 8 + 10) = 7 : 8
Or, 8 × (5a + 18) = 7 × (6a + 18)
Or, 40a + 144 = 42a + 126
Or, 2a = 18
So, a = 9
Required age = 6 × 9 + 8 - 4 = 58 years
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