SOLUTION: The sum of two numbers is 87. Three times the smaller plus twice the larger is 216. Find the larger number.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The sum of two numbers is 87. Three times the smaller plus twice the larger is 216. Find the larger number.      Log On


   

Question 278513: The sum of two numbers is 87. Three times the smaller plus twice the larger is 216. Find the larger number.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=87 MULTIPLY BY -2 & ADD.
3X+2Y=216
-2X-2Y=-174
------------------
X=42 ANS.
42+Y=87
Y=87-42
Y=45 ANS.
PROOF:
3*42+2*45=216
126+90=216
216=216