SOLUTION: the sum of two numbers is 128.their different is 114.find the two numbers.

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Question 184578: the sum of two numbers is 128.their different is 114.find the two numbers.
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!

1st condition:x%2By=128
2nd condition:x-y=114
In 1st condtn we get-------> x=128-y, EQN 1
Susbt. EQN 1 in 2nd condition:
128-y-y=114
128-114=y%2By
14=2y-------->cross%2814%297%2Fcross%282%29=cross%282%29y%2Fcross%282%29
highlight%28y=7%29
Subst.in EQN 1:
x=128-7=highlight%28121%29
Answers---> 7 & 121
Check via condition 1:
121%2B7=128
128=128
check via condition 2:
121-7=114
114=114
Thank you,
Jojo