SOLUTION: If 4 consecutive odd integers sum to 152, what is the smallest of the 4?

Question 935023: If 4 consecutive odd integers sum to 152, what is the smallest of the 4?

Answer by AlgebraLady88(44) (Show Source): You can put this solution on YOUR website!
Let the first odd integer be x.
The second one would be x+2
The third one would be x+4
The fourth one would be x+6.
How do I know the second one is x+2? Just plug in 1 as the odd integer(x). For the second one, x+2= 3, then x+4= 5 and the last one, x+6=7. Try it with other odd integers and you will get the same results.
Now, we can solve algebraically
x+ (x+2) + (x+4) + (x+6) = 152
4x + 12 = 152
4x + 12 - 12 = 152-12
4x = 140
x = 35
So, the integers are 35, 37, 39 and 41. The smallest would be 35.

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

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

the sum of 4 consecutive odd integers is 216. solve the equation to determine the... (answered by jim_thompson5910)

the sum of three consecutive odd integers is 5 less than 4 times the smallest such... (answered by Fombitz)

if the sum of six consecutive of odd integers is 456, what is the smallest of the six... (answered by LinnW)

If the sum of five consecutive odd integers is 205, what is the smallest of the five... (answered by Alan3354)

If the sum of five consecutive odd integers is 195, what is the smallest of the five... (answered by Alan3354)

If the sum of five consecutive odd integers is 155, what is the smallest of the five... (answered by josgarithmetic)

If the sum of six consecutive odd integers is 372, what is the smallest of the six... (answered by ikleyn)