Q7 of 59 Page 61

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?

Given: Present age of Vatsala = 14 years


Present age of Sara = 10 years


Let after x years, the ratio of their ages will be 5:4.


∴ Age of Vatsala after x years = (14 + x) years


Age of Sara after x years = (10 + x) years


Ratio of their ages = 5:4



On cross multiplying, we get:


56 + 4x = 50 + 5x


⇒ 5x – 4x = 56 – 50


⇒ x = 6


∴ After 6 years, their ages will be 20 years and 16 years and ratio


of their ages will be 5:4.


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