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Popular >

Find three consecutive integers whose sum is 22 less than two times the larger number.

Solution

Find three consecutive integers whose sum is 22 less than two times the larger number.

Solution

The numbers : - 21, - 20, - 19

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

x + x + 1 + x + 2 = 2 (x + 2) - 22

Solve

x + x + 1 + x + 2 = 2 (x + 2) - 22 : x = - 21

x + 1 = - 21 + 1 = - 20

x + 2 = - 21 + 2 = - 19

The numbers : - 21, - 20, - 19

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