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The average (arithmetic mean) of three numbers is 100.

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The average (arithmetic mean) of three numbers is 100. [#permalink] New post   11 Aug 2020, 05:07
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The average (arithmetic mean) of three numbers is 100. If two of the numbers are 80 and 130, what is the third number?

A. 70

B. 80

C. 90

D. 100

E. 110
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C
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Re: The average (arithmetic mean) of three numbers is 100. [#permalink] New post   11 Aug 2020, 05:08
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Re: The average (arithmetic mean) of three numbers is 100. [#permalink] New post   12 Aug 2020, 07:35
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let X, Y, Z be the three numbers.

(X+Y+Z)/3 = 100

X+Y+Z=300

let X=80, Y=130

Z=300-X-Y=300-80-130=90

Z=90

Final Answer: C
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Re: The average (arithmetic mean) of three numbers is 100. [#permalink] New post   30 Jun 2022, 08:49
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Theory: Average = \(\frac{Sum Of All The Values}{Total Number Of Values}\)

If the average (arithmetic mean) of 3 numbers is 100 and two of the numbers are 80 and 130
Let the third number be x
=> Sum of all the values= 80 + 130 + x = 210 + x

Using, Average = \(\frac{Sum Of All The Values}{Total Number Of Values}\), We get
100 = \(\frac{210 + x }{ 3}\) (dividing by 3 as there are 3 numbers)
=> 210 + x = 300
=> x = 300 - 210 = 90

So, Answer will be C
Hope it helps!

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