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Popular >

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

Solución

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

Solución

The smallest number : 15

Pasos de solución

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

Resolver

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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