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The average of x numbers is y and average of y numbers is x. Then the average of all the numbers taken together is
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x + y 2xy -
2xy x + y -
x2 + y2 x + y -
xy x + y
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Correct Option: B
Sum of x numbers = xy
Sum of y numbers = xy
∴ Required average = | = | ||
x + y | x + y |
Second method to find the required average ,
Here, n1 = x, a1 = y
n2 = y, a2 = x
∴ Average = | |
n1 + n2 |
Average = | = | ||
x + y | x + y |