SOLUTION: What are 3 consecutive numbers with the sum of 600?

Question 12859: What are 3 consecutive numbers with the sum of 600?
Found 2 solutions by elima, chicosgurrl:
Answer by elima(1433) (Show Source): You can put this solution on YOUR website!
What are 3 consecutive numbers with the sum of 600?
Consecutive means they are 3 numbers in a row; ex. 2,3,4
So we will let x be our first number, the next number(since it comes right after the first) is going to be x+1, and the third number (since it comes 2 numbers after our first) will be x+2.
So our equation will be:
x+(x+1)+(x+2)=600
Now we solve the equation; we can add all the x's together because they are like terms;
3x+3=600;
Now subtract 3 from both sides;
3x+3-3=600-3
3x=597
now both sides by 3;

x=199
Now we know what the first number is, and since they are consecutive they will be,
199, 200, 201
Hope you understand!
=)
Answer by chicosgurrl(2) (Show Source): You can put this solution on YOUR website!
First lets choose a variable for the three unknown numbers. They are consecutive which means that they are in ascending(going up)order (for example..1,2,3,4)
So Lets choose X for the first number.
.
since the next number is consecutive to X, it will be one number more than X which is written as X+1
.
So, Let the second number = X+1 (that is just the first unknown number plus 1)
.
now the next nuber is still consecutive so it's just X+1+1 OR simplify to X+2
.
NOW, to recap, our unknown numbers are:
.
X
(X+1)
(X+2)
.
and we know that the sum of these three numbers is equal to 600.
.
so write as: X+(X+1)+(X+2)=600
Simplify: 3X+3=600
.
Get the x on one side by subtracting 3 from both sides:
3x+3=600
.. -3=-3
.
.After that it becomes: 3x=597
.
Now, get the X by itself by dividing both sides by 3:
3x=597
.. X=199
now you know x, so plug it in X=199
X+1 is the same as 199+1 which is =200
X+2 is the same as 199+2 which is 201
so the answers are: 199, 200, 201
they are consecutive and the sum of the three is =600
I hope this helps. =)

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