Question

If a is the average (arithmetic mean) of 4x and 7, b is the average of 5x and 6, and c is the average of 3x and 11, what is the average of a, b, and c, in terms of x?

Answer 1

Answer:

2x+4

Step-by-step explanation:

Given that a is the average (arithmetic mean) of 4x and 7, b is the average of 5x and 6, and c is the average of 3x and 11

By definition of arithmetic mean,

we have $a=\frac{4x+7}{2} \\b=\frac{5x+6}{2} \\c=\frac{3x+11}{2}$

Let us calculate sum of a,b,c in terms of x

a+b+c = $\frac{4x+7+5x+6+3x+11}{2} \\=6x+12$

Average = sum/3 = $\frac{6x+12}{3} =2x+4$