The present ages of A and B are in the ratio | vedclass

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(A) Let the present ages of $A$ and $B$ be $5x$ and $6x$ years respectively.According to the problem,after seven years,the ratio of their ages will be

Vedclass · Accepted Answer

$35$

Vedclass · Answer

(A) Let the present ages of $A$ and $B$ be $5x$ and $6x$ years respectively.According to the problem,after seven years,the ratio of their ages will be $6:7$.So,the equation is: $\frac{5x + 7}{6x + 7} = \frac{6}{7}$.Cross-multiplying the terms,we get: $7(5x + 7) = 6(6x + 7)$.$35x + 49 = 36x + 42$.Rearranging the terms to solve for $x$: $49 - 42 = 36x - 35x$.$x = 7$.The present age of $A$ is $5x = 5 	imes 7 = 35$ years.

The present ages of $A$ and $B$ are in the ratio $5:6$ respectively. After seven years,this ratio becomes $6:7$. Then the present age of $A$ in years is:

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