SOLUTION: Write an equation and solve to find three consecutive integers whose sum is 33.

Question 261902: Write an equation and solve to find three consecutive integers whose sum is 33.
Found 4 solutions by richwmiller, checkley77, Alan3354, solver91311:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
The simple way is 33/3 =11 the middle one is 11
n+n+1+n+2=33
3n+3=33
3n=30
n=10
next two are 11 and 12
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
X, X+1 & X+2 ARE THE 3 INTEGERS.
X+X+1+X+2=33
3X+3=33
3X=33-3
3X=30
X=10 THE FIRST INTEGER.
10+1=11 THE SECOND INTEGER.
10+2=12 THE THIRD INTEGER.
PROOF
10+11+12=33
33=33
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
33/3 = 11. That's the middle number.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

Let represent the first of the three consecutive integers. Then then next one has to be , and the one after that has to be . The sum means add them, so:

Solve for to find the first one, and the other two will be obvious.

John

RELATED QUESTIONS
Write an algebraic equation to find three consecutive integers whose sum is 312, and then (answered by solver91311)
Use algebraic equation/s to find three consecutive integers whose sum is... (answered by MathLover1)
Write and solve an equation to find three consecutive odd integers who's sum is... (answered by CubeyThePenguin)
The sum of three consecutive even integers is 270. Write and solve an equation to find... (answered by Alan3354)
Write an equation and solve. Find two consecutive odd integers whose sum is... (answered by stanbon,oberobic,lmeeks54)
Find three consecutive integers whose sum is... (answered by elima)
Find three consecutive odd integers whose sum is negative... (answered by stanbon)
find three consecutive odd integers whose sum is... (answered by ptaylor)
Find three consecutive integers whose sum is... (answered by Alan3354,nerdybill)