SOLUTION: two numbers differ by 57. the sum of the numbers is 185. What are the two numbers?

Question 652365: two numbers differ by 57. the sum of the numbers is 185. What are the two numbers?
Answer by Shana-D77(132) (Show Source): You can put this solution on YOUR website!
let x = first #
let y = second #
"two numbers differ by 57": x - y = 57
"the sum of the numbers is 185": x + y = 185
Use elimination by addition to add the equations vertically:
x - y = 57
x + y = 185 (the ys will cancel when added)
-------------
2x = 242
x = 121 (divided both sides by 2)
If x = 121, then sun it into one of the original equations:
x + y = 185
121 + y = 185
y = 64
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