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Popular Word Problems >

the sum of 3 consecutive integers is 3009. what is the smallest of these integers

Solution

t h e s u m o f 3 co n sec u t i v e in t e g ers i s 3009. w ha t i s t h e s ma ll es t o f t h ese in t e g ers

Solution

The smallest number : 1002

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 = 3009

Solve

x + x + 1 + x + 2 = 3009 : x = 1002

x + 1 = 1002 + 1 = 1003

x + 2 = 1002 + 2 = 1004

Select the smallest solution:

1002

The smallest number : 1002

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