SOLUTION: Three consecutive integers have the sum of 153. What is the second integer?

Question 59126: Three consecutive integers have the sum of 153. What is the second integer?
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Three consecutive integers have the sum of 153. What is the second integer?
When we count consecutive integers we're adding 1:
1,2,3,4,5...
1,1+1,1+1+1,1+1+1+1,1+1+1+1+1,...
so
If the first integer is: x
Then the second integer is:x+1
and the third integer is:x+1+1=x+2
sum means +
is means =
(x)+(x+1)+(x+2)=153
3x+3=153
3x+3-3=153-3
3x=150
3x/3=150/3
x=50
The first integer is:x=50
the second integer is:x+1=50+1=
The thrid integer is:x+2=50+2=52
:
Check is the sum of those digits = to 153?
50+51+52=153
153=153 Looks good to me!!!
Happy Calculating!!!
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