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Find two numbers, if their sum is 49 and their difference is 1/2

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Let the two numbers be x and y respectively

CaseI
x+y=49
or,x=49-y


Case II
x-y=1/2
or,49-y-y=1/2(from case I)
or,49-2y=1/2
or,49-1/2=2y
or,(49*2-1)/2=2y
or,97/2=2y
or,48.5=2y
or,48.5/2=y
Y=24.25

Now,

X=49-y
or,x=49-24.25
X=24.75

User Trevorhpittman
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