Question 697469: The product of two consecutive odd integers exceeds ten times the even number between them by 95. What are the odd numbers? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! let the odd numbers be x & x+2
The product of both = x(x+2)
10 time s the even number between them
number between them = (x+1)
ten times = 10(x+1)
by 95
x(x+2) = 10(x+1) +95
x^2+2x=10x+10+95
x^2+2x-10x-105=0
x^2-8x-105=0
x^2-15x+7x-105=0
x(x-15)+7(x-15)=0
(x-15)(x+7)=0
x=15 OR x=-7
The numbers are 15 & 17
OR
-7, -5
