x, y, 3y

If the average (arithmetic mean) of the 3 numbers above is 3x and x≠0, What is y in terms of x?

(x+y+3y)/2 = 3x

6x = x+4y
4y = 5x
Y = 5x/4

To find the value of y in terms of x, we need to set up an equation using the given information.

The average of the three numbers x, y, and 3y is equal to 3x. The average of a set of numbers is found by adding up all the numbers and dividing by the count of numbers. In this case, the average is:

(x + y + 3y) / 3 = 3x

Simplifying, we have:

(x + 4y) / 3 = 3x

Next, we can cross-multiply to eliminate the fraction:

x + 4y = 9x

Moving all terms involving y to one side of the equation:

4y = 9x - x

Simplifying further:

4y = 8x

Finally, divide both sides by 4 to isolate y:

y = (8x) / 4

Simplifying the expression:

y = 2x

Therefore, the value of y in terms of x is 2x.