SOLUTION: Of the three consecutive integers, the sum of the smallest two integers is equal to 33 less than three times the largest. Find the integers.

Algebra.Com
Question 97742: Of the three consecutive integers, the sum of the smallest two integers is equal to 33 less than three times the largest. Find the integers.
Answer by elima(1433)   (Show Source): You can put this solution on YOUR website!
Let the first integer = x
the next DISABLED_event_one= x +1
the third = x+2
x+(x+1)=3(x+2)-33
2x+1=3x+6-33
2x-3x=6-33-1
-1x=-28
x=28
1st integer = 28
second = 29
third = 30
check:
28+29=3(30)-33
57=57
:)

RELATED QUESTIONS

What is the smallest of three consecutive integers if the sum of the smaller two integers (answered by CubeyThePenguin)
of three consecutive even integers, the sum of the smallest two integers is equal to 6... (answered by ewatrrr)
Three times the smallest of three consecutive odd integers is one less than twice the... (answered by TimothyLamb)
Three times the smallest of three consecutive even integers is two more than twice the... (answered by checkley77)
Three times the smallest of three consecutive even integers is two more than twice the... (answered by addingup)
Three times the smallest of three consecutive even integers is two more than twice the... (answered by CubeyThePenguin)
three times the largest of three consecutive odd integers is three less than twice the... (answered by stanbon)
Find three consecutive even integers such that twice the largest is equal to two more... (answered by namra)
What is the middle of three consecutive positive integers if the product of the smallest (answered by phoihe001)