SOLUTION: The product of two consecutive odd integers exceeds ten times the even number between them by 95. What are the two odd integers?
Algebra.Com
Question 254303: The product of two consecutive odd integers exceeds ten times the even number between them by 95. What are the two odd integers?
Found 3 solutions by drk, JimboP1977, palanisamy:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Let 2 consecutive odd integers be x and x + 2.
Let the even number between then be x + 1.
x = 15 or x = -7.
We have two answers:
15, 17
-7, -5.
Now the question could be "could x be negative?" Let's see,we can try our answers on the original question of "The product of two consecutive odd integers exceeds ten times the even number between them by 95"
(-7)*(-5) - 10*(-6) = 95
35 + 60 = 95
95 = 95.
So we see that negatives do work.
Answer by JimboP1977(311) (Show Source): You can put this solution on YOUR website!
x*(x+2)=10*(x+1)+95
x^2+2x=10x+10+95
x^2+2x=10x+105
x^2-8x=105
(x-4)^2-16=105
(x-4)^2=121
x=sqrt(121)+4
x=15
So the two odd integers are 15 and 17.
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Let the two consecutive odd integers be x and x+2
The even integer between them is x+1
Given,the product of two consecutive odd integers exceeds ten times the even number between them by 95
x(x+2) = 10(x+1)+95
x^2+2x = 10x+10+95
x^2+2x-10x-10-95 = 0
x^2-8x-105 = 0
(x-15)(x+7) = 0
x = 15 or -7
X cannot be negative.
Therefore x = 15.
So the odd integers are 15 and 17
RELATED QUESTIONS
The product of two consecutive odd integers exceeds ten times the even number between... (answered by mananth)
The product of two consecutive odd integers exceed ten times the even number between them (answered by josgarithmetic,ikleyn)
I need help writing this in number form
" two times the least of three consecutive... (answered by Fombitz)
Two times the least of three consecutive odd integers exceeds three times the greatest by (answered by checkley77)
two times the least of three consecutive odd integers exceeds three times the greatest by (answered by checkley77)
Two times the least of three consecutive odd integers exceeds three times the greatest by (answered by CubeyThePenguin)
Two times the least of three consecutive odd integers exceeds three times the greatest by (answered by fractalier)
The product of two consecutive positive even numbers is 16 greater than 16 times of the... (answered by CubeyThePenguin)
Please help me with this following problem: Two times the least of three consecutive odd... (answered by ewatrrr)