Three alternate terms of an AP are x+y, x-y and 2x + 3y, then x =

a) -y

b) -2y

c) -4y

d) -6y

x-y-(x+y)=2x+3y-(x-y) since they are in AP

x-y-x-y=2x+3y-x+y

-2y=x+4y

-6y=x

therefore ans is d)  -6y

hope its correct 

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x=-6y

solution=

B=A+C/2

X-Y=X+Y+2X+3y/2  (AFTER SOLVING THIS)

x=-6Y