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

The sum of four consecutive integers is at least

lcyaire

08.02.2022

Let the four consecutive integers be

x , x+1, x+2, x+3

ATQ, Their sum is 18

$\sf \: x + x + 1 + x + 2 + x + 3 = 18$

$\sf \: 4x + 1 + 2 + 3 = 18$

$\sf4x + 6 = 18$

$\sf4x = 18 - 6$

$\sf4x = 12$

$\boxed{ \mathfrak{x = 3}}$

Now,1st number = x = 32nd number = x+1 = 3+1 = 43rd number = x+2 = 3+2 = 54th number = x+3 = 3+3 = 6

The four numbers are 3,4,5,6 respectively and the smallest number among them is 3...~

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