SOLUTION: One number is 4 more than three times a smaller number. If twice the larger number is decreased by three times the smaller number, the result is 32.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: One number is 4 more than three times a smaller number. If twice the larger number is decreased by three times the smaller number, the result is 32.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 353869: One number is 4 more than three times a smaller number. If twice the larger number is decreased by three times the smaller number, the result is 32.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's set up x being the smaller number and y will be the larger one. We can set up 2 equation as:
y=3x+4
2y-3x=32
rewritten as:
y-3x=4
2y-3x=32
Multiply the first equation by -2 to get:
-2y+6x=-8
Add this to the second equation:
3x=24
Divide by 3 to get:
x=8
Therefore y=28
Make sense?
RJ
www.math-unlock.com