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:
A. $$\frac{{{x^3} + {y^3}}}{{x + y}}$$
B. $$xy$$
C. $$\frac{{{x^2} + {y^2}}}{{x + y}}$$
D. $$x{y^2} + y{x^2}$$
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{According to the question,}} \cr & {\text{Average of }}x{\text{ number}} = {y^2} \cr & \therefore {\text{Sum of }}x{\text{ number}} = x{y^2} \cr & {\text{Average of }}y{\text{ number}} = {x^2} \cr & \therefore {\text{Sum of }}y{\text{ number}} = y{x^2} \cr & {\text{Average of all number}} = \frac{{x{y^2} + y{x^2}}}{{x + y}} \cr & = \frac{{xy\left( {x + y} \right)}}{{x + y}} \cr & = xy \cr} $$Related Questions on Average
A. 125 km/hr
B. 75 km/hr
C. 135 km/hr
D. 120 km/hr
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