Question
The ratio of the ages of A and B is 4:5. 6 years ago,
the ratio of their ages was 3:4. Find their present ages.Solution
ATQ,
Let the present ages of A and B be 4x and 5x respectively. Six years ago, their ages were 4x − 6 and 5x − 6, and the ratio was 3:4. 
Cross-multiply and solve:
4(4x − 6) = 3(5x − 6) 16x − 24=15x − 18 x = 6
So, their present ages are 4x = 24 and 5x = 30. Thus, A is 24 years old and B is 30 years old.
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