SOLUTION: the product of two whole numbes is 96 and the sum is less than 30 what are the possibelities for the two numbers.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: the product of two whole numbes is 96 and the sum is less than 30 what are the possibelities for the two numbers.      Log On


   

Question 371204: the product of two whole numbes is 96 and the sum is less than 30 what are the possibelities for the two numbers.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let one number be x
other be y
x+y < 30
x*y =90
x= 90/y
plug the value of x in the first equation
x+y<30
90/y + y <30
(90+y^2)/y <30
90+y^2<30y
-30y -30y
y^2-30y+90<0
discriminant = 540
x1<(30+sqrt(540))/2
x1<26.6
x2<(30-sqrt(540))/2
x2<3.38
..
x<26.6 , y<3.38 (x+y)<30
x<3.38, y<26.6
..
m.ananth@hotmail.ca