Two numbers are in the ratio of 5: 7. If 25 i | vedclass

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(C) Let the two numbers be $5x$ and $7x$.According to the problem,if $25$ is subtracted from each,the ratio becomes $35: 59$.$\frac{5x - 25}{7x - 25}

Vedclass · Accepted Answer

$24$

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(C) Let the two numbers be $5x$ and $7x$.According to the problem,if $25$ is subtracted from each,the ratio becomes $35: 59$.$\frac{5x - 25}{7x - 25} = \frac{35}{59}$Cross-multiplying,we get:$59(5x - 25) = 35(7x - 25)$$295x - 1475 = 245x - 875$$295x - 245x = 1475 - 875$$50x = 600$$x = 12$Therefore,the first number is $5 	imes 12 = 60$ and the second number is $7 	imes 12 = 84$.The difference between the two numbers is $84 - 60 = 24$.

Two numbers are in the ratio of $5: 7$. If $25$ is subtracted from each,they are in the ratio of $35: 59$. Find the difference of the two numbers.

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