If seven consecutive numbers equal to 182, which one is the smallest?
2 answers:
Answer:
23.
Step-by-step explanation:
My assumption: You mean when you add the numbers, they equal 182.
Let be the smallest number. Then we are asked to solve the following equation:
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.
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