SOLUTION: The sum of 3 consecutive EVEN integers is 174. What is the first integer?
Algebra.Com
Question 230742: The sum of 3 consecutive EVEN integers is 174. What is the first integer?
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Let's set up an equation first. We'll let x be the first even number.
Then we can say x+2 would be the next even number, Right? Well, the next even number would be x+4. So let's add all those together like this:
x+x+2+x+4=174
We're almost there. This equation could be written as:
3x + 6 = 174
Subtract 6 from both sides gives us:
3x = 168
Divide both sides by 3 gives us:
x = 56
Therefore the first number is 56.
Check it out. Does 56 + 58 + 60 = 174
Yep it does.
You're welcome,
RJ Toftness
www.math-unlock.com
RELATED QUESTIONS
The sum of 3 consecutive even integers is 54. What is the first consecutive integer?
(answered by asha,funmath)
The sum of three consecutive even integers is 174. Find the... (answered by Alan3354)
The sum of the first and third integer of three consecutive even integers is 128. Find 3... (answered by CubeyThePenguin)
The sum of three consecutive even integers is fifty-four. The sum of the first two... (answered by nerdybill)
the sum of 5 consecutive even integers if the first even integer is x
(answered by checkley79)
The sum of four consecutive even integers is equal to seven times the first integer? What (answered by ReadingBoosters)
What is the sum of three consecutive even integer, if n is even the first... (answered by dkppathak)
if the sum of three consecutive even integers is 60, what is the first of the three even... (answered by Alan3354)
The sum of three even consecutive integers if the first integer is... (answered by edjones,unlockmath)