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

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Answer 1 · 2016-12-09T21:59:35

$n = 7$

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#

$6 xx n = 42$

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

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

$n = 7$