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Populaire >

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

Solution

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

Solution

The smallest number : 15

étapes des solutions

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

Résoudre

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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