SOLUTION: PLEASE HELP ME TO SOLVE THIS PROBLEM (IF THE SUM OF TWO NUMBERS IS 84 AND YHEIR DIFFERENCE IS 30 FIND THOSE TWO NUMBERS?)

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Question 707098: PLEASE HELP ME TO SOLVE THIS PROBLEM (IF THE SUM OF TWO NUMBERS IS 84 AND YHEIR DIFFERENCE IS 30 FIND THOSE TWO NUMBERS?)




Found 2 solutions by lynnlo, Stitch:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
SUM IS 84=======DIFFERENCE IS =30
X+Y====84====YOUR SUM
X-Y====30====YOUR DIFFERENCE
30 + 84==114==ADD TOGETHER
X=72========HALF OF YOUR ANSWER
SOLVE FOR Y
72+Y=84==========YOUR SUM
Y=84-72=======SUBTRACT SUM FROM ANSWER
Y=12
X==72,,,Y==12

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: A+%2B+B+=+84
Equation 2: A+-+B+=+30
Solve equation 2 for A
A+=+B+%2B+30
Now plug (B + 30) into equation 1 for A
Equation 1: A+%2B+B+=+84
%28B+%2B+30%29+%2B+B+=+84
Combine like terms
2B+%2B+30+=+84
Subtract 30 from both sides
2B+=+54
Divide both sides by 2
highlight%28B+=+27%29
Now plug 27 into equation 2 for B
A+=+B+%2B+30
A+=+%2827%29+%2B+30
highlight_green%28A+=+57%29