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Standard VIII

Mathematics

Solving Linear Equations Using Transpose of Terms

A number is m...

Question

A number is multiplied by half of itself and then $32$ is added to the product, if the final result is $130$ , then find the original number.

4

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7

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5

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14

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Solution

The correct option is C $14$
Let the number be $x$
According to given question, we have
$x \times \frac{x}{2} + 32 = 130$
$\Rightarrow \frac{x^{2}}{2} = 98$
$\Rightarrow x^{2} = 196$
$\Rightarrow x = 14$
Therefore, the number is $14$ .

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A number is multiplied by half of itself and then 32 is added to the product, if the final result is 130, then find the original number.

The correct option is C 14Let the number be xAccording to given question, we havex×x2+32=130⇒x22=98⇒x2=196⇒x=14Therefore, the number is 14.

A number is multiplied by half of itself and then $32$ is added to the product, if the final result is $130$ , then find the original number.

The correct option is C $14$
Let the number be $x$
According to given question, we have
$x \times \frac{x}{2} + 32 = 130$
$\Rightarrow \frac{x^{2}}{2} = 98$
$\Rightarrow x^{2} = 196$
$\Rightarrow x = 14$
Therefore, the number is $14$ .