SOLUTION: I am trying to figure out a two digit number that is the product of the sum of its digits and the number two.

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Question 316937: I am trying to figure out a two digit number that is the product of the sum of its digits and the number two.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let AB be the number which is numerically 10%2AA%2BB
10%2AA%2BB=2%2A%28A%2BB%29
10%2AA%2BB=2A%2B2B
8A-B=0
8A=B
A and B can only take integer values from 1 to 9.
B could have been 0 but since it's now tied to A, it cannot equal 0.
The only available value for B is 1 so that A%3C9.
B=1
A=8
The number is 18.