Question

The age of Mohan and Sohan are in the ratio 5:7. If Mohan was 9 years older and Sohan 9 years younger,then their ages would be in the ratio 2:1. Find their present ages.

Answer 1

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Answer 2

$\large{\boxed{\bold{Answer:}}}$

Let their ages be 5x and 7x

$\small{\boxed{\bold{A.T.Q}}}$

$\frac{5x + 9}{7x - 9} = \frac{2}{1} \\ \\ = > 5x + 9 = 2(7x - 9) = 14x - 8 \: \: \: \: (cross \: multiplication) \\ \\ = > 14x - 5x = 9 + 18 \\ \\ = > 9x = 27 \\ \\ = > x = 3$

Mohan's age = 5×3=15

Sohan's age =7×3 = 21

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