Question

Given: a=b+2c, b=3c. What is the average of numbers a, b and c?

Answer 1

Answer:

3c

Step-by-step explanation:

$average = \frac{a + b + c}{3}$

Substitute a= b +2c:

$\frac{a + b + c}{3} = \frac{b + 2c + b + c}{3} \\ \frac{a + b + c}{3} = \frac{2b + 3c}{3}$

Substitute b= 3c:

$\frac{a + b + c}{3} = \frac{2(3c) + 3c}{3} \\ \frac{a + b + c}{3} = \frac{6c + 3c}{3} \\ \frac{a + b + c}{3} = \frac{9c}{3} \\ \frac{a + b + c}{ 3} = 3c$

Thus, the average of the 3 numbers is 3c.