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Question
The ratio of present ages of Albert and Salim is 5 : 9. Five years hence ratio of their ages will be 3 : 5. Find their present ages.
Solution
Let the present ages of Albert and Salim be 5x years and 9x years, respectively.
5 years hence,
Age of Albert = (5x + 5) years
Age of Salim = (9x + 5) years
It is given that five year hence, the ratio of their ages will be 3 : 5.
`therefore (5x + 5)/(9x + 5) = 3/5`
⇒ 25x + 25 = 27x + 15
⇒ 27x - 25x = 25 - 15
⇒ 2x = 10
⇒ x = 5
∴ Present age of Albert = 5x = 5 × 5 = 25 years
Present age of Salim = 9x = 9 × 5 = 45 years
Thus, the present age of Albert is 25 years and the present age of Salim is 45 years.
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