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Popular Word Problems >

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

Solution

F in d t h ree co n sec u t i v e in t e g ers w h ose s u m i s 22 l ess t han tw o t im es t h e l a r g er n u mb er .

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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