Question
Download Solution PDFThe ages of two sisters A and B are in the ratio of 7 ∶ 6. After 12 years, the ratio of their ages will be 9 ∶ 8. Find the difference between their ages.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Let the current ages of sisters A and B be 7x and 6x respectively,
After 12 years, their ages will be (7x + 12) and (6x + 12)
respectively.
According to the question,
(7x + 12)/(6x + 12) = 9/8
⇒ 8(7x + 12) = 9(6x + 12)
⇒ 56x + 96 = 54x + 108
⇒ 2x = 12
⇒ x = 6
A's current age is 7x = 42
B's current age is 6x = 36.
The difference between their ages is 42 - 36 = 6 years.
Last updated on Jul 6, 2025
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