One-fifth of a number is equal to frac{5}{8} | vedclass

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Question

(B) Let the two numbers be $x$ and $y$.According to the problem,we have the following equations:$(1) \quad \frac{1}{5} x = \frac{5}{8} y$$(2) \quad x

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(B) Let the two numbers be $x$ and $y$.According to the problem,we have the following equations:$(1) \quad \frac{1}{5} x = \frac{5}{8} y$$(2) \quad x + 35 = 4 y$From equation $(1)$,we can express $x$ in terms of $y$:$x = \frac{5}{8} y 	imes 5 = \frac{25}{8} y$Now,substitute this value of $x$ into equation $(2)$:$\frac{25}{8} y + 35 = 4 y$Rearranging the terms to solve for $y$:$35 = 4 y - \frac{25}{8} y$$35 = \left( \frac{32 - 25}{8} ight) y$$35 = \frac{7}{8} y$$y = \frac{35 	imes 8}{7}$$y = 5 	imes 8 = 40$Therefore,the second number is $40$.

One-fifth of a number is equal to $\frac{5}{8}$ of another number. If $35$ is added to the first number,it becomes four times the second number. The second number is

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