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If  x/y = 4/5 then , the value of 4/7 +  2y−x2y+x\tfrac{2y-x}{2y+x}2y+x2y−x​  is ?​
Question

If  x/y = 4/5 then , the value of 4/7 +  2yx2y+x\tfrac{2y-x}{2y+x}  is ?

A.

2

B.

8

C.

1

D.

12

Correct option is C

 Given,

4/7 + (2y - x)/(2y + x)

= 4/7 + [(2 - (x/y)] / [2 + (x/y)]

= 4/7 + [2 - 4/5] / [2 + 4/5]

= 4/7 + ( 6/5 x 5/14 )

= 4/7 + 3/7 =1

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