SOLUTION: The sum of 3 consecutive even integers is 54. What is the first consecutive integer?

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Question 59127: The sum of 3 consecutive even integers is 54. What is the first consecutive integer?

Found 2 solutions by asha, funmath:
Answer by asha(30) About Me  (Show Source):
You can put this solution on YOUR website!
let the integers be x ,x+2,x+4
given: x+x+2+x+4=54
3x+6=54
3x=48 x=48/3=16
the integers are 16,18, 20
the first integer is 16

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of 3 consecutive even integers is 54. What is the first consecutive integer?
When we count by even numbers we are adding 2
2,4,6,8,10...
2,2+2,4+2,6+2,8+2...
Let the first even integer be:x
Then the second even integer is:x+2
Then the third even integer is: x+2+2=x+4
Sum means +
is means =
(x)+(x+2)+(x+4)=54
3x+6=54
3x+6-6=54-6
3x=48
3x/3=48/3
x=16
They only asked for the first even integer so highlight%28x=16%29
Check:
The first integer is:x=16
the second integer is:x+2=16+2=18
the third integer is: x+4=16+4=20
Do they all add up to get 54?
16+18+20=54
54=54 Looks like we're right!!!
Happy Calculating!!!