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The sum of 5 consecutive integers is 100.What is the second number in this sequence?

Solution

The sum of 5 consecutive integers is 100.What is the second number in this sequence?

Solution

The number : 19

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 = 100

Solve

x + x + 1 + x + 2 + x + 3 + x + 4 = 100 : x = 18

x + 1 = 18 + 1 = 19

x + 2 = 18 + 2 = 20

x + 3 = 18 + 3 = 21

x + 4 = 18 + 4 = 22

The number : 19

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