Aptitude Question ID : 94170

The average of x numbers is y^{2} and the average of y numbers is x^{2}. So the average of all the numbers taken together is:

Total sum of x numbers = xy^{2}
Total sum of y numbers = yx^{2}
∴ Required Average =
= \frac{xy^{2}+yx^{2}}{x+y}
= \frac{xy(y+x)}{x+y} = xy
Hence option [A] is the right answer.