Question

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

Answer 1

`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 xx n`.

The sum of this and 11 can be written as:

`11 + (6 xx n)`

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

`11 + (6 xx n) = 53`

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

`11 - 11 + (6 xx n) = 53 - 11`

0 + (6 xx n) = 42#

`6 xx n = 42`

`(6 xx n)/6 = 42/6`

`(cancel(6) xx n)/cancel(6) = 7`

`n = 7`