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#