If 25 % of a number is subtracted from a seco | vedclass

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Question

(B) Let the first number be $x$ and the second number be $y$.According to the problem,$25 \%$ of the first number is subtracted from the second number

Vedclass · Accepted Answer

$2:3$

Vedclass · Answer

(B) Let the first number be $x$ and the second number be $y$.According to the problem,$25 \%$ of the first number is subtracted from the second number:$y - 0.25x = \frac{5}{6}y$Rearrange the equation to group the $y$ terms:$y - \frac{5}{6}y = 0.25x$$\frac{1}{6}y = \frac{1}{4}x$To find the ratio of the first number $(x)$ to the second number $(y)$:$\frac{x}{y} = \frac{1/6}{1/4} = \frac{1}{6} 	imes \frac{4}{1} = \frac{4}{6} = \frac{2}{3}$Therefore,the ratio of the first number to the second number is $2:3$.

If $25 \%$ of a number is subtracted from a second number,the second number reduces to its five-sixths. What is the ratio of the first number to the second number?

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