Question 36293
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