Question

three of four numbers have sum of 22. If the average of the four numbers is 8, what is the fourth number

Answer 1

Firstly you must know that:

\[Average = \frac{Sum \; Of \; Numbers}{Total \;Numbers}\]

Answer 2

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Answer 3

If I have four numbers, let us say, x, y, z, h, then:

Sum Of Numbers = x + y + z + h

And you are just given that three of four numbers have sum of 22.. So, I am assuming that sum of x, y and z is 22..

So:

Average = (x + y + z) + h = 22 + h

And as you have 4 numbers(x,y,z,h), So Total Numbers = 4..

Answer 4

Also, you have told that Average = 8..

So, just use that formula:

\[8 = \frac{22 + h}{4} \implies 8 \times 4 = 22 + h \implies \color{blue}{32 - 22 = h} \implies \color{green}{h = 10}\]

So, the fourth number is 10..

Answer 5

And yes, lastly:

\[\huge \color{green}{\textsf{Welcome To Openstudy...}}\]

Answer 6

Thank you so much!

Answer 7

While I do, you must respond or communicate, this way you will get things easily and more.. :)