SOLUTION: One integer is 9 more than another. Their product is 360 . Find the integers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: One integer is 9 more than another. Their product is 360 . Find the integers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1066127: One integer is 9 more than another. Their product is 360
. Find the integers.
Found 3 solutions by stanbon, math_helper, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One integer is 9 more than another. Their product is 360
. Find the integers.
----------------
1st:: x
2nd:: x+9
-----
Equation:
x(x+9) = 360
x^2 + 9x - 360 = 0
-----------------------
x = 15 or x = -24
-----
If x = 15, x+9 = 24
If x = -24, x+9 = -15
-------------------
Cheers,
Stan H.
------------------

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the smaller integer.
Then x%2A%28x%2B9%29+=+360+
+x%5E2+%2B+9x+-+360+=+0+
+%28x%2B24%29%28x-15%29+=+0+
x=-24 or +x=15
x=-24 —> x+9 = -15
x=15 —> x+9 = 24
—
Answers:
1. -24 and -15
and
2. 15 and 24
—
Check: 1. -15 is 9 more than -24, and (-24)(-15) = 360 (ok)
2. 24 is 9 more than 15, and (24)(15) = 360 (ok)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
One integer is 9 more than another. Their product is 360
. Find the integers.
You can do this:
----------------
1st:: x
2nd:: x+9
-----
Equation:
x(x+9) = 360
x^2 + 9x - 360 = 0
At this point, find a pair of integers with a product of 360 that differ by 9.
-----------------------
x = 15 or x = -24
=======================================
Or, you can do this:
Find a pair of integers with a product of 360 that differ by 9.