Question

a b c are three distinct natural numbers less than 11 the Arithmetic mean of a and b is 9 and the geometric mean of B and C is 6 under root 2 what are the values of A B and C respectively​

Answer 1

Step-by-step explanation:

8,9,10

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Answer 2

Answer:

The answer to this question is 12,8.

Step-by-step explanation:

Firstly, let's understand what arithmetic and geometric mean are.

Arithmetic mean is the simplest measure of central tendency and is the ratio of the sum of the items to the number of items. It is denoted by x̄. It is considered the best measure of central tendency. The choice of the average depends upon the distribution of the data and the purpose for which it is used.

Let the first number be x1.

Let the second number be x2.

$\frac{x1+x2}{2} =9\\x1+x2=18$

In mathematics, the geometric mean is a mean or average which indicates a central tendency of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

$\sqrt{x1*x2} =6\sqrt{2}\\ x1*x2=72$

Solving the above equations we get x1=12 and x2=6.

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