SOLUTION: The ratio of 16 more than a number to 12 less than that number is 1 to 3. What is the number?

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Question 296450: The ratio of 16 more than a number to 12 less than that number is 1 to 3. What is the number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = a number
:
The ratio of 16 more than a number to 12 less than that number is 1 to 3. What is the number?
%28x%2B16%29%2F%28x-12%29 = 1%2F3
Cross multiply
3(x+16) = x - 12
3x + 48 = x - 12
3x - x = 12 - 48
2x = -36
x = %28-36%29%2F2
x = -18
:
:
Check solution
%28-18%2B16%29%2F%28-18%2B12%29 =
%28-2%29%2F%28-6%29 = 1%2F3