Question

A) average of p and 10 is 16,p=?
b) average of z and 12 is 10,z=?​

Answer 1

p = 22

z = 8

Explanation:

Average is sum of the terms divided by number of terms.

Question # 1:

Given that:

`\displaystyle (p+10)/(2) = 16\\\\Multiply\ both\ sides\ by \ 2]]\\ p+10 = 2 * 16\\\\p+10 = 32\\\\Subtract \ 10\ to \ both \ sides\\\\p = 32-10\\\\p = 22`

Question # 2:

Given that:

`\displaystyle (z+12)/(2) = 10\\\\Multiply \ both \ sides \ by \ 2\\\\z+12 = 10 * 2\\\\z+12 = 20\\\\Subtract \ 12\ to \ both \ sides\\\\z = 20-12\\\\z = 8\\\\\rule[224]{225}{2}`

Hope this helped!

~AH1807