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(D) Let the given number be $x$.According to the problem,the boy divided the number by $\frac{8}{17}$ instead of multiplying it by $\frac{8}{17}$.Divi

Vedclass · Accepted Answer

$136$

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(D) Let the given number be $x$.According to the problem,the boy divided the number by $\frac{8}{17}$ instead of multiplying it by $\frac{8}{17}$.Dividing by $\frac{8}{17}$ is equivalent to multiplying by $\frac{17}{8}$.The difference between the result obtained and the expected result is $225$.So,the equation is: $x 	imes \frac{17}{8} - x 	imes \frac{8}{17} = 225$.Taking $x$ as a common factor: $x 	imes (\frac{17}{8} - \frac{8}{17}) = 225$.Calculating the difference inside the bracket: $\frac{17^2 - 8^2}{8 	imes 17} = \frac{289 - 64}{136} = \frac{225}{136}$.Thus,$x 	imes \frac{225}{136} = 225$.Dividing both sides by $225$,we get: $\frac{x}{136} = 1$.Therefore,$x = 136$.

$A$ boy was asked to multiply a given number by $\frac{8}{17}$. Instead,he divided it by $\frac{8}{17}$ and got the result $225$ more than what he should have got if he had multiplied the number by $\frac{8}{17}$. The given number was:

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