SOLUTION: i am working on my math homework and i came to this word problem and i tried it but i still couldn't figure out what the answer was nor could my boyfriend. please help me. two num

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Question 544735: i am working on my math homework and i came to this word problem and i tried it but i still couldn't figure out what the answer was nor could my boyfriend. please help me. two numbers total 57 and have a difference of 9.
Answer by nerdybill(6958) About Me  (Show Source):
You can put this solution on YOUR website!
two numbers total 57 and have a difference of 9
Let x,y be the two numbers
x+y = 57
x-y = 9
.
Add both equations together:
x+y = 57
x-y = 9
------------
2x = 66
x = 33
.
substitute above into:
x+y = 57
33+y = 57
y = 24
.
solution: 24 and 33