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  1. The average of x numbers is y and average of y numbers is x. Then the average of all the numbers taken together is
    1. x + y
      2xy
    2. 2xy
      x + y
    3. x2 + y2
      x + y
    4. xy
      x + y
Correct Option: B

Sum of x numbers = xy
Sum of y numbers = xy

∴ Required average =
Sum of x numbers + Sum of y numbers
=
2xy
x + yx + y

Second method to find the required average ,
Here, n1 = x, a1 = y
n2 = y, a2 = x
∴ Average =
n1a1 + n2a2
n1 + n2

Average =
xy + yx
=
2xy
x + yx + y



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