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The average of x numbers is y2 and the average of y numbers is x2. So, the average of all the numbers taken together is :
Answer & Solution
Correct Answer:
Option
B
According to the question,
Average of x number is y2
∴ Sum of x number is = xy2
Average of y number is = x2
∴ Sum of y number is = yx2
Average of all number is
= $$\frac{{{xy^2} + {yx^2}}}{{x + y}}$$
= $$\frac{{xy\left( {x + y} \right)}}{{x + y}}$$
= xy
Average of x number is y2
∴ Sum of x number is = xy2
Average of y number is = x2
∴ Sum of y number is = yx2
Average of all number is
= $$\frac{{{xy^2} + {yx^2}}}{{x + y}}$$
= $$\frac{{xy\left( {x + y} \right)}}{{x + y}}$$
= xy
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