If X = (2/3) x (X+Y), which of the following is an expression for X in terms of Y?

If X = (2/3) x (X+Y), which of the following is an expression for X in terms of Y?

A (2/3)Y

B Y

C (3/2)Y

D 2Y

Solution

Correct Answer: Option D

• X = (2/3) x (X+Y)
⇒ X = (2X+2Y)/3
⇒ 3X = 2X+2Y
⇒ 3X-2X = 2Y
⇒ X = 2Y