The ratio of ages of Mohan and Madhu is 3:4. | vedclass

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Question

(C) Let the present ages of Mohan and Madhu be $3x$ and $4x$ years respectively.After $8$ years,their ages will be $(3x + 8)$ and $(4x + 8)$ years.Acc

Vedclass · Accepted Answer

$24, 32$

Vedclass · Answer

(C) Let the present ages of Mohan and Madhu be $3x$ and $4x$ years respectively.After $8$ years,their ages will be $(3x + 8)$ and $(4x + 8)$ years.According to the problem,the ratio of their ages after $8$ years is $4:5$:$\frac{3x + 8}{4x + 8} = \frac{4}{5}$Cross-multiplying the terms:$5(3x + 8) = 4(4x + 8)$$15x + 40 = 16x + 32$Rearranging the terms to solve for $x$:$16x - 15x = 40 - 32$$x = 8$Therefore,the present age of Mohan is $3x = 3 	imes 8 = 24$ years.The present age of Madhu is $4x = 4 	imes 8 = 32$ years.

The ratio of ages of Mohan and Madhu is $3:4$. After $8$ years,their age ratio becomes $4:5$. What are the present ages of Mohan and Madhu? (in years)

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