# A number is divided by 4, and then the quotient is added to 17. The result is 25. How do you find the number?

Mar 12, 2018

the number is $32$

#### Explanation:

A quotient is the answer to a division.
In this case a number $\left(x\right)$, has been divided by $4$ to give:

$\frac{x}{4}$

This answer is added to $17$

$17 + \frac{x}{4}$

the result is $25$ so you can write an equation:

$17 + \frac{x}{4} = 25$

To find the value of $x$:

$\times 4 : \rightarrow \text{ } 4 \times 17 + 4 \times \frac{x}{4} = 4 \times 25$

$68 + x = 100$

$x = 100 - 68$

$x = 32$

Test:

$32 \div 4 = 8$

$17 + 8 = 25$