SOLUTION: Two consecutive even integers exist such that one-third of the lesser is equal to five less of the greater. What is the sum of these two integers?

Question 1045754: Two consecutive even integers exist such that one-third of the lesser is equal to five less of the greater. What is the sum of these two integers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two consecutive even integers exist such that one-third of the lesser is equal to five less of the greater.
What is the sum of these two integers?
:
let the two consecutive even integers be n and (n+2)
Write an equation for exactly what it says
n = (n+2) - 5
n = n - 3
multiply both sides by 3
n = 3(n-3)
n = 3n - 9
9 = 3n - n
9 = 2n
n = 9/2, I don't think they do exist, however their sum is
4.5 + 6.5 = 11
RELATED QUESTIONS
Ms simms told her class to find two consecutive even integers such that twice the lesser... (answered by Dawn_Mandira)

if the lesser of two consecutive even integers is five more than half the greater, what... (answered by JulietG)

find three consecutive even integers such that the product of the first and second is... (answered by CubeyThePenguin)

Find two consecutive even integers such that the sum of twice the lesser and three times... (answered by ewatrrr,MathLover1)

the greater of two consecutive even integers is six less than three times the... (answered by checkley75)

the greater of two consecutive even integers is 6 less than three times the lesser (answered by Fombitz)

Find two consecutive even integers such that the lesser is two times the... (answered by Fombitz)

The lesser of two consecutive even integers is 10 more than one-half the greater. What... (answered by MathLover1)

What is the lesser of two consecutive even integers is 10 more than one- half the... (answered by elima)