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The sum of 5 consecutive integers is 265.What is the fifth number in this sequence?

Solution

The sum of 5 consecutive integers is 265.What is the fifth number in this sequence?

Solution

The number : 55

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

Consecutive number 3 : x + 3

Consecutive number 4 : x + 4

A.T.Q.:

x + x + 1 + x + 2 + x + 3 + x + 4 = 265

Solve

x + x + 1 + x + 2 + x + 3 + x + 4 = 265 : x = 51

x + 1 = 51 + 1 = 52

x + 2 = 51 + 2 = 53

x + 3 = 51 + 3 = 54

x + 4 = 51 + 4 = 55

The number : 55

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