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If 1/2 is subtracted from a number

Question:

If 1/2 is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?

Solution:

Let the number be $x$.

According to the question,

$4\left(x-\frac{1}{2}\right)=5 \quad \Rightarrow \quad 4 x-2=5$

$\Rightarrow$ $4 x=5+2 \Rightarrow 4 x=7$

$\therefore$ $x=\frac{7}{4}$

Hence, the required number is $\frac{7}{4}$.

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