What is the answer to "Twenty more than two times a number is eighteen"?

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Answer 1 · 2018-04-20T00:29:27

#n=-1#

Twenty more means to add #20#. Two times a number means to multiply the number by #2#. "... is eighteen" means is equal to #18#.

Let #n# represent the number.

#20+2n=18#

Subtract #20# from both sides.

#color(red)cancel(color(black)(20))-color(red)cancel(color(black)(20))+2n=18-20#

Simplify.

#2n=-2#

Divide both sides by #2#.

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

Simplify.

#n=-2/2#

#n=-1#

Check.

#20+2(-1)=18#

#20-2=18#

#18=18#