SOLUTION: the sum of 4 consecutive odd integers is 216. solve the equation to determine the smallest integer.

Question 155747: the sum of 4 consecutive odd integers is 216.
solve the equation to determine the smallest integer.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Consecutive odd integers follow the pattern: , , , , etc...

So if "the sum of 4 consecutive odd integers is 216", then this means that the equation is

Start with the given equation.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

Go back to the first number (which is the smallest integer of the four)

Plug in

Multiply

Add

----------------------------------------------------------------------

Answer:

So the smallest integer of the group is 51

Check:

51+53+55+57=216

216=216 ... works

RELATED QUESTIONS
The sum of 5 consecutive odd integers is 175. Write and solve and equation to find k, the (answered by neatmath)

The sum of 3 consecutive odd integers is 17 less than 4 times the smallest integer (answered by CubeyThePenguin)

The sum of five consecutive odd integers is equal to -55. Find the smallest integer. (answered by Fombitz)

The sum of 4 consecutive odd integers is 216. Find the four... (answered by Earlsdon)

The sum of two consecutive odd integers is 2216. What is the smallest... (answered by MathLover1)

the sum of two consecutive odd integers is 244. what is the smallest... (answered by josmiceli)

the sum of two consecutive odd integers is 76. what is the smallest integer (answered by solver91311,palanisamy)

What is the sum of three consecutive odd integers if the smallest integer is q? (answered by checkley79)

The sum of three consecutive odd integers is 17 less than four times the smallest... (answered by ankor@dixie-net.com)