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If the sum of six consecutive odd integers is 120, what is the smallest of the six integers?

Soluzione

If the sum of six consecutive odd integers is 120, what is the smallest of the six integers?

Soluzione

The smallest number : 15

Fasi della soluzione

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

Consecutive number 5 : x + 10

A.T.Q.:

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 120

Risolvi

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 120 : x = 15

x + 2 = 15 + 2 = 17

x + 4 = 15 + 4 = 19

x + 6 = 15 + 6 = 21

x + 8 = 15 + 8 = 23

x + 10 = 15 + 10 = 25

Select the smallest solution:

15

The smallest number : 15

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