Question
The age ratio of Kiran and Meena 3 years ago was 3:4. In 9
years from now, the ratio of their ages will be 5:6. What is the present age of Meena?Solution
ATQ,
Let the ages of Kiran and Meena 3 years ago be '3x' and '4x' respectively.
So, Kiran’s age after 9 years = 3x + 3 + 9 = (3x + 12) years
And Meena’s age after 9 years = 4x + 3 + 9 = (4x + 12) years
ATQ,
(3x + 12)/(4x + 12) = 5/6
⇒ 6(3x + 12) = 5(4x + 12)
⇒ 18x + 72 = 20x + 60
⇒ 12 = 2x
⇒ x = 6
So, present age of Meena = 4 × 6 + 3 = 27 years
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