SOLUTION: A positive integer is 17 more than 13 times another. Their product is 756. Find the two integers.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A positive integer is 17 more than 13 times another. Their product is 756. Find the two integers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1007401: A positive integer is 17 more than 13 times another. Their product is 756. Find the two integers.
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
x= 13y+17
xy= 756 Substitute for x:
(13y+17)y= 756
13y^2+17y-756= 0 Factor the left:
(y-7)(13y+108)= 0 Break into 2 equations:
(y-7)= 0 or (13y+108)= 0
y= 7 or 13y= -108; y= -108/13; y= -8.31 Discard the negative, we are looking for a positive number. Our answer is 7.
---------------------
Check: Seventeen more than 13 times:
17+(7*13)= 17+91= 108 And their product is 756:
108*7= 756 We have the correct answer