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iogann1982 [59]
3 years ago
12

Three consecutive integers have a sum of 48 find the integers?

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0

The sum of three consecutive integers is three times the middle one: if we call the middle one x, the three numbers are

x-1,\ x,\ x+1

So, their sum is x-1+x+x+1 = 3x

Which is three times the middle one.

So, if the sum of three consecutive intergers is 48, the middle one must be 48/3 = 16.

So, the three numbers are 15, 16 and 17

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Answer:

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Step-by-step explanation:

The consecutive integers iincrease by 1. So the middle integer of an odd number of consecutive integers is their mean. Three is an odd number of integers.

45:3 = 15   ← middle number

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Step-by-step explanation:

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