Question

when x is subtracted from 2y, the difference is equal to the average of x and y. what is the value of x/y? a. 1/2 b. 2/3 c. 1 d. 3/2

Answer 1

c. 1

Explanation:

"When x is subtracted from 2y," can be written as:

2y - x

"the difference is equal to the average of x and y." can be written as:

= (x+y)/2

Put the two together:

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

Simplify:

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

4y - 2x = (x+y) [Multiply both sides by 2]

4y - 2x = x+y

3y - 3x = 0

3y = 3x

y = x

x/y = 1

x and y are the same