Present ages of X and Y are in the ratio 5: 6 | vedclass

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Question

(A) Let the present ages of $X$ and $Y$ be $5x$ and $6x$ respectively.According to the problem,after $7$ years,the ratio of their ages will be $6: 7$.

Vedclass · Accepted Answer

$35$

Vedclass · Answer

(A) Let the present ages of $X$ and $Y$ be $5x$ and $6x$ respectively.According to the problem,after $7$ years,the ratio of their ages will be $6: 7$.So,the equation is: $\frac{5x + 7}{6x + 7} = \frac{6}{7}$.By cross-multiplying,we get: $7(5x + 7) = 6(6x + 7)$.$35x + 49 = 36x + 42$.Rearranging the terms: $49 - 42 = 36x - 35x$.$x = 7$.Therefore,$X$'s present age is $5x = 5 	imes 7 = 35$ years.

Present ages of $X$ and $Y$ are in the ratio $5: 6$ respectively. Seven years hence,this ratio will become $6: 7$ respectively. What is $X$'s present age in years?

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