Question
The present ages of ‘X’ and ‘Y’ are in the ratio
7:9. After 4 years, their ages will be in the ratio 11:13. What was X’s age 6 years before now?Solution
ATQ,
Let present ages of X and Y be 7x and 9x.
ATQ:
(7x + 4)/(9x + 4) = 11/13
⇒ 13(7x + 4) = 11(9x + 4)
⇒ 91x + 52 = 99x + 44
⇒ x = 1
So, present age of X = 7x = 7 years
X’s age 6 years ago = 7 – 6 = 1 year
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