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Mathematics 6 Online
OpenStudy (ebonyserrano):

Three consecutive integers have a sum of 84. Find the integers.

OpenStudy (ebonyserrano):

@Will.H

OpenStudy (steve816):

x + (x+1) + (x+2) = 84

OpenStudy (steve816):

^Solve

OpenStudy (ebonyserrano):

84 is one of them?

zepdrix (zepdrix):

No. If 84 was one of the numbers, then 0 and 0 would have to be the other two numbers. 0 + 0 + 84 will sum up to 84. But 0, 0, 84 are not `consecutive`.

zepdrix (zepdrix):

Divide 84 into three pieces. That will give you your middle number.

OpenStudy (mathmate):

Example: Three consecutive numbers add up to 24, find the numbers. Solution: Consecutive numbers means that they are whole numbers that follow each other, such as 1,2,3, or 15,16,17. We know that the middle number is one-third of the sum, because the middle number is also the average (mean) of the three numbers. So the middle number when the sum is 24 is 24/3=8. So the numbers are one greater and one smaller than the middle number, or 7,8,9.

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