SOLUTION: The sum of two numbers is 64. If twice the smaller number is subtracted from the larger number, the result is 16. Find the two numbers. THANKS FOR YOUR HELP:)

Question 142635This question is from textbook
: The sum of two numbers is 64. If twice the smaller number is subtracted from the larger number, the result is 16. Find the two numbers.
THANKS FOR YOUR HELP:) This question is from textbook

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X+Y=64 OR X=64-Y
X-2Y=16
NOW REPLACE X IN THIS EQUATION BY(64-Y) & SOLVE FOR Y.
64-Y-2Y=16
-3Y=16-64
-3Y=-48
Y=-48/-3
Y=16 ANSWER FOR THE SMALLER NUMBER.
X+16=64
X=64-16
X=48 ANSWER FOR THE LARGER NUMBER.
PROOF:
48-2*16=16
48-32=16
16=16

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