SOLUTION: THE SUM OF TWO NUMBERS IS 27. ONE HALF OF THE FIRST NUMBER PLUS ONE THIRD OF THE SECOND NUMBER IS 11. FIND THE NUMBERS.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: THE SUM OF TWO NUMBERS IS 27. ONE HALF OF THE FIRST NUMBER PLUS ONE THIRD OF THE SECOND NUMBER IS 11. FIND THE NUMBERS.      Log On


   

Question 185129: THE SUM OF TWO NUMBERS IS 27. ONE HALF OF THE FIRST NUMBER PLUS ONE THIRD OF THE SECOND NUMBER IS 11. FIND THE NUMBERS.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=27 MULTIPLY BY -1/2 & ADD.
X/2+Y/3=11
-X/2-Y/2=-27/2
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Y/3-Y/2=11-27/2
(2Y-3Y)/6=(11*2-27)/2
-Y/6=(22-27)/2
-Y/6=-5/2
-2Y=-30
Y=-30/-2
Y=15 ANS.
X+15=27
X=27-15
X=12 ANS.
PROOF:
12/2+15/3=11
6+5=11
11=11