SOLUTION: The sum of three consecutive numbers is 600. What is the least of these three numbers?

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Question 11728: The sum of three consecutive numbers is 600. What is the least of these three numbers?
Answer by elima(1433)   (Show Source): You can put this solution on YOUR website!
The sum of three consecutive numbers is 600. What is the least of these three numbers?
Let x be the first unknown number. The numbers are consecutive, so the other two would be; x+1, x+2
We now have:
x+(x+1)+(x+2)=600
Now we solve the equation for x,
We can add all the x's together; 3x+3=600
Now we subtract the 3 from both sides;
3x+3-3=600-3
3x = 597
Now we divide the 3 from both sides;
3x/3 = 597/3
We are left with x=199
check:
now we can add the numbers placing 199 for x;
199+(199+1)+(199+2)=600
199+200+201=600

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