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Question
Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5 : 4?
Solution
Let after x years, the ratio of their ages will become 5 : 4.
Age of Vatsala after x years = (14 + x) years
Age of Sara after x years = (10 + x) years
∴ `(14+x) / (10+x) = 5/4`
⇒ 56 + 4x = 50 + 5x
⇒ 5x - 4x = 56 - 50
⇒ x = 6
Thus, the ratio of their ages will become 5 : 4 after 6 years.
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