The ratio of the present ages of Rajan and Ja | vedclass

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Question

(A) Let the present ages of Rajan and Jay be $3x$ and $2x$ respectively.After five years,their ages will be $(3x + 5)$ and $(2x + 5)$.According to the

Vedclass · Accepted Answer

Rajan: $15$ years,Jay: $10$ years

Vedclass · Answer

(A) Let the present ages of Rajan and Jay be $3x$ and $2x$ respectively.After five years,their ages will be $(3x + 5)$ and $(2x + 5)$.According to the problem,the ratio of their ages after five years is $4:3$,so:$\frac{3x + 5}{2x + 5} = \frac{4}{3}$Cross-multiplying gives: $3(3x + 5) = 4(2x + 5)$$9x + 15 = 8x + 20$$9x - 8x = 20 - 15$$x = 5$Therefore,the present age of Rajan is $3 	imes 5 = 15$ years and the present age of Jay is $2 	imes 5 = 10$ years.

The ratio of the present ages of Rajan and Jay is $3:2$. After five years,the ratio of their ages will be $4:3$. Find the present ages of both.

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