# Nine times a number, diminished by 4, is 95. How do you find the number?

##### 1 Answer
Oct 21, 2016

The number is $11$

#### Explanation:

If we represent the number by $n$
then $9$ times the number is $9 n$
and ($9$ times the number) diminished by $4$ is $9 n - 4$

We are told
$\textcolor{w h i t e}{\text{XXX}} 9 n - 4 = 95$

If we add $4$ to both sides, we get
$\textcolor{w h i t e}{\text{XXX}} 9 n = 99$

then, dividing both sides by $9$
$\textcolor{w h i t e}{\text{XXX}} n = 11$