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

If you need immediate math help from PAID TUTORS right now, click here. (paid link)
Click here to see ALL problems on Miscellaneous Word Problems

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) (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(80) (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