If 40 % of a number is equal to two-third of | vedclass

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(C) Let the two numbers be $x$ and $y$.According to the problem,$40 \%$ of $x$ is equal to $\frac{2}{3}$ of $y$.This can be written as: $\frac{40}{100

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$5: 3$

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(C) Let the two numbers be $x$ and $y$.According to the problem,$40 \%$ of $x$ is equal to $\frac{2}{3}$ of $y$.This can be written as: $\frac{40}{100} x = \frac{2}{3} y$.Simplifying the fraction $\frac{40}{100}$,we get $\frac{2}{5} x = \frac{2}{3} y$.To find the ratio $x:y$,we rearrange the equation: $\frac{x}{y} = \frac{2}{3} 	imes \frac{5}{2}$.Canceling the $2$ from the numerator and denominator,we get $\frac{x}{y} = \frac{5}{3}$.Therefore,the ratio of the first number to the second number is $5:3$.

If $40 \%$ of a number is equal to two-third of another number,what is the ratio of the first number to the second number?

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