SOLUTION: The sum of two numbers is 11. Three times the larger minus 2 times the smaller equals 8

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of two numbers is 11. Three times the larger minus 2 times the smaller equals 8      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1013809: The sum of two numbers is 11. Three times the larger minus 2 times the smaller equals 8
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the larger and the smaller, x and y. Then we have
x + y = 11 (or x = 11 - y)
and
3x - 2y = 8
Now substitute and get
3(11-y) - 2y = 8
33 - 3y - 2y = 8
-5y + 33 = 8
-5y = -25
y = 5
x = 6