15. The age of Supriya and Neetu are in the ratio 5:6. After two years, their age will be in the ratio6:7. What are their present ages?
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Let the present age of Supriya and Neetu be 5x and 7x years respectively.
After two years, Supriya's age = 5x + 2
After two years, Neetu's age = 6x + 2
Therefore, the ratio of their ages after two years
= 5x + 2
6x + 2
This is given to be 6:7
Therefore, 5x + 2 = 6
6x + 2 7
Cross multiplication gives
6 (6x+2) = 7 (5x+2)
or, 36x + 12 = 35x + 14
or, 36x-35x = 14 - 12
or, x = 2
Therefore, Supriya's present age =5x=5×2=10
& Neetu's present age = 6x = 6× 2 = 12 years
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