# What is the equation that expresses one-half of a certain number n is 95?

Aug 7, 2016

$95 = \frac{1}{2} n \leftarrow \text{ equation}$

For this to work the actual value of $n$ is $190$

#### Explanation:

$\textcolor{g r e e n}{\text{Solved by thinking it out}}$

Given that:$\text{ } 95 = \frac{1}{2} n$

If half a number is 95 then the number must be two lots of 95.

That is: $95 + 95 = 190$

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$\textcolor{g r e e n}{\text{Solved by using algebra}}$

Given that:$\text{ } 95 = \frac{1}{2} n$

Determine the value of $n$

Multiply both sides by $\textcolor{b l u e}{2}$

$\textcolor{b r o w n}{\textcolor{b l u e}{2 \times} 95 = \textcolor{b l u e}{2 \times} \frac{1}{2} \times n}$

$\textcolor{b r o w n}{\textcolor{b l u e}{2} \times 95 = \frac{\textcolor{b l u e}{2}}{2} \times n}$

But $\frac{2}{2} = 1$ giving:

$190 = 1 \times n$

$\implies n = 190$