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Question

The ratio of present ages of Veena and Kinjal is 2:3. The ratio of ages of Veena after 4 years and the age of Kinjal 4 years before is 4:1. Find their present ages.

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Solution

Let x and y be the present ages of Veena and Kinjal.
According to the question-
xy=23
x=23y.....(1)

Also, given that ratio of ages of Veena after 4 years and the age of Kinjal 4 years before is 4:1, i.e.,

x+4y4=41

x+4=4(y4)

23y+4=4y16

4y23y=16+4

103y=20

y=20×310=6 years

Substituting the value of y in equation (1), we have
x=23×6=4 years.

Hence the present ages of Veena and Kinjal are 4 and 6 years respectively.

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