SOLUTION: One number is 12 more than half another number. The two numbers total 60. Find the numbers.

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Question 36293This question is from textbook algebra
: One number is 12 more than half another number. The two numbers total 60. Find the numbers. This question is from textbook algebra

Found 2 solutions by checkley71, vidhyak:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X+(12+X/2)=60 OR X+(24+X)/2=60 OR (2X+24+X)/2=60 OR 2X+24+X=120 OR
3X=120-24 OR 3X=96 OR X=96/3 OR X=32
PROOF 32+(12+32/2)=60 OR 32+12+16=60 OR 60=60

Answer by vidhyak(98) About Me  (Show Source):
You can put this solution on YOUR website!
One number is 12 more than half another number. The two numbers total 60. Find the numbers.

Let the number be x , y
One number is 12 more than half another number.
x = (y/2) + 12
2x = y + 24
2x - y = 24 ---------equation 1

The two numbers total 60.
x + y = 60 ---------equation 2

Add eq1 and eq 2
2x - y = 24
+x + y = 60
3x = 84
x = 84/3 = 28

Substitute x = 28 in
x + y = 60
28 + y = 60
y = 60 - 28
y = 32

x = 28, y =32