Answer :

Answer:

the seven consecutive numbers would be 23 24 25 26 27 28 29

Step-by-step explanation:


Thanks for taking the time to read If the sum of seven consecutive numbers is 182 which one is the smallest. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer:

23.

Step-by-step explanation:

My assumption: You mean when you add the numbers, they equal 182.

Let [tex]x[/tex] be the smallest number. Then we are asked to solve the following equation:

[tex]x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) = 182.[/tex]

Rearranging the equation gives us:

7x + 21 = 182 => x + 3 = 26 => x = 23.

So the smallest number is 23 (since our assumption was that x is the smallest number.

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You could very well have stated that x was the middle number as a lot of cancellations would occur. That is:

(x - 3) + (x - 2) + (x - 1) + x + (x + 1) + (x + 2) + (x - 3) = 182.

7x = 182 => x = 26 so the smallest would be 26 - 3 = 23.