SOLUTION: The sum of two numbers is 90. The numbers are 6 apart.what are they?

Question 549366: The sum of two numbers is 90. The numbers are 6 apart.what are they?
Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!
There's two ways to do this...one by thinking it out
If the sum is 90, the average must be 45. If they are 6 digits apart, one must be 3 above 45 and the other 3 below. So our numbers are 42 and 48.
Solving this algebraically we have
x+y=90
x-y=6
____
x-y=6
x=6+y
substitute this in
6+y+y=90
6+2y=90
2y=84
y=42
x+42=90
x=46
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