SOLUTION: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 173890: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Let x & y be the 2 integers.
x-y=9 or x=9+y
5y=3x+7
Now replace x with (9+y) & solve for y.
5y=3(9+y)+7
5y=27+3y+7
5y-3y=34
2y=34
y=34/2
y=17 ans.
x-17=9
x=9+17
x=26 ans.
Proof:
5*17=3*26+7
85=78+7
85=85