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?)

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) (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) (Show Source): You can put this solution on YOUR website!
Equation 1:
Equation 2:
Solve equation 2 for A

Now plug (B + 30) into equation 1 for A
Equation 1:

Combine like terms

Subtract 30 from both sides

Divide both sides by 2

Now plug 27 into equation 2 for B