SOLUTION: Three times the opposite of a number is 40 greater than 5 times number. What is the number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Three times the opposite of a number is 40 greater than 5 times number. What is the number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 200088: Three times the opposite of a number is 40 greater than 5 times number. What is the number?
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the unknown number is x.
Then the opposite of the number is -x.
****************************************************
Three time the opposite of the unknown number is -3x.
Five times the unknown number is 5x.
****************************************************
As their difference is 40, we have
-3x - 5x = 40
****************************************************
Solving for x, we have
-8x = 40
x = -5
****************************************************
So the number is -5.