SOLUTION: Set up an equation and solve the problem. Find two integers whose product is 65 such that one of the integers is three more than one of the integers is three more than twice the o

Question 846596: Set up an equation and solve the problem.
Find two integers whose product is 65 such that one of the integers is three more than one of the integers is three more than twice the other integer.
I have:
x(y)=65
x=2y+3
(2y+3) y=65
2y^2+3y-65=0
(2y^2+13y)+(-10y-65)=0
y(2y+13)-5(2y+13)
(2y+13) (y-5)
2y+13=0 =-13/2
y-5=0. =5
Webassign told me it was wrong and I just want to know how to do it.
Thank you so much!!
Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
Hello. You were correct up until you stopped at y = -13/2 and 5. The word problem says that both numbers have to be integers, and -13/2 is not an integer. So, 5 would be one of the integers. To find the other integer, substitute 5 for y in x = 2y + 3:

x = 2(5) + 3 -----> x = 13

So, your equation would be set up as AND and your two integers would be 5 and 13
RELATED QUESTIONS
Set up an equation and solve. Find two intergers whose products is 104 such that one... (answered by Alan3354)

I need help solving this math problem : Find two integers whose product is 77 such... (answered by stanbon)

Find two integers whose product is 104 such that one of the integers is 3 less than twice (answered by edjones)

Find three consecutive integers such that if the middle one is tripled, the result is 12... (answered by rothauserc)

set up an equation and solve. find three even consecutive integers such that twice the (answered by rothauserc)

How do i set up an equation to solve this question: Find three consecutive integers such... (answered by scott8148)

Find two integers whose product is 105 such that one of the integers is one more twice... (answered by nerdybill)

Find two integers whose product is 104 such that one of the integers is three less than... (answered by rfadrogane)

Find two integers whose product is 299 such that one of the integers is three less than... (answered by Alan3354)