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Popular Word Problems >

The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?

Solution

T h e s u m o f f o u r co n sec u t i v e in t e g ers i s a t l e a s t 18. Wha t^{'} s t h e s ma ll es t co n sec u t i v e in t e g er t o mak e t hi s s t a t e m e n t t r u e ?

Solution

x \geq 3

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

Consecutive number 3 : x + 3

A.T.Q.:

x + x + 1 + x + 2 + x + 3 \geq 18

Solve

x + x + 1 + x + 2 + x + 3 \geq 18 : x \geq 3

x \geq 3

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