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Popular >

The sum of 5 consecutive odd numbers is 505

Solution

The sum of 5 consecutive odd numbers is 505

Solution

The numbers : 97, 99, 101, 103, 105

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

Consecutive number 4 : x + 8

A.T.Q.:

x + x + 2 + x + 4 + x + 6 + x + 8 = 505

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 = 505 : x = 97

x + 2 = 97 + 2 = 99

x + 4 = 97 + 4 = 101

x + 6 = 97 + 6 = 103

x + 8 = 97 + 8 = 105

The numbers : 97, 99, 101, 103, 105

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