# The sum of 11 and the product of a number and 6 is 53. What is the number?

Dec 9, 2016

$n = 7$

#### Explanation:

First, let's write this as a mathematical expression:

Let's call the number we are looking for $n$:

Then we can write "the product of a number and 6" as $6 \times n$.

The sum of this and 11 can be written as:

$11 + \left(6 \times n\right)$

Now this "is 53" or $= 53$:

$11 + \left(6 \times n\right) = 53$

Now that we have this as an equation we can solve for $n$ while keeping the equation balanced:

$11 - 11 + \left(6 \times n\right) = 53 - 11$

0 + (6 xx n) = 42#

$6 \times n = 42$

$\frac{6 \times n}{6} = \frac{42}{6}$

$\frac{\cancel{6} \times n}{\cancel{6}} = 7$

$n = 7$