The average of x numbers is y2 and the average of…

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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 :

1. A. $$\frac{{{x^3} + {y^3}}}{{x + y}}$$
2. B. xy
3. C. $$\frac{{{x^2} + {y^2}}}{{x + y}}$$
4. D. xy2 + yx2

Here is complete explanation of The average of x numbers is y2 and the average of….

Solution(By ExamCraze Team)

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
= $$frac{{{xy^2} + {yx^2}}}{{x + y}}$$
= $$frac{{xyleft( {x + y} right)}}{{x + y}}$$
= xy