SOLUTION: The sum of three consecutive even integers is -102. List the numbers from smallest to largest:

Algebra.Com
Question 1055161: The sum of three consecutive even integers is -102. List the numbers from smallest to largest:


Found 2 solutions by keviana, ikleyn:
Answer by keviana(1)   (Show Source): You can put this solution on YOUR website!
The sum of three consecutive even integers is -102. List the numbers from smallest to largest:

Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.
Let x be the middle of the three consecutive integers.
Then the integers are (x-2), x and (x+2).

Their sum is (x-2) + x + (x+2) = 3x.

So, 3x = -102.

Hence, x = = -34.

The numbers are -36, -34 and -32.


RELATED QUESTIONS

The sum of three consecutive odd integers is -207. List the numbers from smallest to... (answered by MathLover1,josgarithmetic,MathTherapy)
The sum of five consecutive even integers is −20. Find the integers. List them in... (answered by ikleyn)
The sum of three consecutive even integers is the same as twice the smallest of these... (answered by stanbon)
Find three consecutive odd integers such that the sum of two times the first, three times (answered by ikleyn,4419875)
Find three consecutive odd integers such that the sum of two times the first, three times (answered by Alan3354,greenestamps,josgarithmetic)
If the sum of three consecutive integers is 102, what is the smallest of the integers? (answered by ewatrrr)
Find four consecutive even integers such that the square of the sum of the first and... (answered by josgarithmetic,MathTherapy)
Find three consecutive even integers for which 3 times the largest is twice the sum of... (answered by checkley77)
of three consecutive even integers, the sum of the smallest two integers is equal to 6... (answered by ewatrrr)