Question
Download Solution PDFThe present ages of Sweeta and Suman are in the ratio 4 : 5. Six years back, the ratio of their ages was 2 : 3. What is the present age of Sweeta?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The present ages of Sweeta and Suman are in the ratio 4 : 5.
Six years ago, the ratio of their ages was 2 : 3.
Calculations:
Let Sweeta's present age = 4x and Suman's present age = 5x.
Six years ago, their ages were: Sweeta = 4x - 6, Suman = 5x - 6.
According to the given condition: \(\dfrac{4x - 6}{5x - 6} = \dfrac{2}{3}\)
⇒ 3(4x - 6) = 2(5x - 6)
⇒ 12x - 18 = 10x - 12
⇒ 12x - 10x = -12 + 18
⇒ x = 3
Sweeta's present age = 4x = 4 × 3 = 12 years.
∴ The present age of Sweeta is 12 years.
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