Six more than the product of a number and 2 is 8. What is the number?

Question

4158 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-20T23:15:29

The number is #1#

First, let's call the number we are looking for #n#.

The product of this number #n# and #2# can be written as #2n# or #2 xx n# or #2 * n#. We will use #2n#.

Six more than this product can be written as: #2n + 6#.

Now, because it is equation to #8# we can write and solve for #n#:

#2n + 6 = 8#

#2n + 6 - color(red)(6) = 8 - color(red)(6)#

#2n + 0 = 2#

#2n = 2#

#(2n)/color(red)(2) = 2/color(red)(2)#

#(color(red)(cancel(color(black)(2)))n)/cancel(color(red)(2)) = 1#

#n = 1#