SOLUTION: Three consecutive numbers have a sum of 33. What is the middle number?

Algebra.Com
Question 830163: Three consecutive numbers have a sum of 33. What is the middle number?
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
33/3 is the middle number

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
x + (x+1) + (x+2) = 33

x + x+1 + x+2 = 33

3x + 3 = 33

3x = 33-3

3x = 30

x = 30/3

x = 10

The first number is 10.

x+1 = 10+1 = 11.

The second number is 11.

x+2 = 10+2 = 12

The third number is 12.

So the middle number is 11.

RELATED QUESTIONS

three consecutive odd whole numbers have a sum of 111. What is the middle number? (answered by Alan3354)
Three consecutive odd counting numbers have the property that the sum of the largest and... (answered by abhinav75)
Three consecutive odd counting numbers have the property that the sum of the largest and... (answered by ewatrrr)
If the sum of three consecutive numbers is more than middle number by 130, then find the (answered by richwmiller)
The sum of three consecutive odd numbers is 27. The middle number... (answered by Alan3354)
sum of 3 consecutive even numbers is 24 .what is the middle... (answered by Seutip,Alan3354)
thrice the middle number of three consecutive numbers is 30712.What is the sum of the... (answered by JulietG)
What is the middle number of three consecutive odd numbers if the sum of the first and... (answered by Fombitz,nyc_function)
Three consecutive odd numbers whose sum is 21 and the product is 315 what number is in... (answered by Alan3354)