SOLUTION: One number is 6 less than another number. Their sum is 20. Find the greater number?

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Question 73156: One number is 6 less than another number. Their sum is 20. Find the greater number?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let one number be m and another be n. If m is 6 less than n then it looks like this
m=n-6
m%2Bn=20Here's the sum of the 2 numbers
Plug in m=n-6 into m of m%2Bn=20
%28n-6%29%2Bn=20Solve for n
2n-6=20
2n=26
n=13
m=13-6Find the smaller number
m=7
So the greater number is 13 and the smaller number is 7
Check:
m%2Bn=20
7%2B13=20
20=20