SOLUTION: the sum of two numbers is 59. If you substract the smaller number from the larger number, the answer is 33

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the sum of two numbers is 59. If you substract the smaller number from the larger number, the answer is 33      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 469228: the sum of two numbers is 59. If you substract the smaller number from the larger number, the answer is 33
Answer by Tatiana_Stebko(1326) About Me  (Show Source):
You can put this solution on YOUR website!
Let x is the smaller number
Let y is the larger number
The sum of two numbers is 59, so x%2By=59
If you substract the smaller number from the larger number, the answer is 33, so y-x=33
The system of equations:
system%28x%2By=59%2Cy-x=33%29
Add the second equation to the first one
2y=92
y=92%2F2
y=46 - the larger number
x%2B46=59
x=59-46
x=13 - the smaller number