Question
Ten years earlier, the ages of Aarav and Kabir were in
the ratio 3:4. Six years later from that point (i.e., 4 years ago), their ages were in the ratio 7:9. Meera is 5 years younger than Aarav. Find Meera’s present age.Solution
ATQ, 10 years ago, Aarav = 3x years 10 years ago, Kabir = 4x years 4 years ago, Aarav = 3x + 6 years 4 years ago, Kabir = 4x + 6 years According to the question, (3x + 6):(4x + 6) = 7:9 9(3x + 6) = 7(4x + 6) 27x + 54 = 28x + 42 x = 12 Present age of Aarav = 3×12 + 10 = 46 years Present age of Meera = 46 − 5 = 41 years
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