Question

pls answer this question

Answer 1

The 3 prime numbers are {2, 17, 23} and the average is 14.

What is the average of the 3 hidden numbers?

Here we need to find 3 prime numbers A, B, and C, such that:

If we go look at a table of prime numbers, we can identify that the possible values for A, B, and C are:

{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...}

Here we must have:

A + 44 = B + 59 = C + 38

If we take the first part:

A + 44 = B + 59

A - B = 59 - 44 = 15

So we need to find two prime numbers that are at a distance of 15 units, these two are:

A = 17

B = 2

Then:

59 + 2 = 61 = C + 38

61 - 38 = C  = 23 (which is other prime number).

So the 3 prime numbers are: {2, 17, 23}

And the average is:

M = (2 + 17 + 23)/3 = 14

So the average is 14, which means that the correct option is B.

If you want to learn more about prime numbers:

https://brainly.com/question/145452

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