Is the average (arithmetic mean) of x and y greater than 20? the average (arithmetic mean) of 2x and 2y is 48. x = 3y?

Respuesta :

2x + 2y = 48
2(x + y) = 48
x + y = 24
mean = 24/2 = 12

less than 20

The arithmetic mean of x and y is greater than 20

What is Arithmetic mean?

In mathematics and statistics, the arithmetic mean or arithmetic average, or simply just the mean or the average, is the sum of a collection of numbers divided by the count of numbers in the collection.

Given,

Arithmetic mean of 2x and 4x is 48

Then,

[tex]\frac{2x+2y}{2}=48\\ 2x+2y=96\\2(x+y)=96\\x+y=48\\[/tex]

then, the arithmetic mean of x + y = [tex]\frac{48}{2} =24[/tex]

Hence, the arithmetic mean of x and y is greater than 20

Learn more about Arithmetic mean here

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