If the sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is = ?
A. 40
B. 44
C. 80
D. 88
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{According to the question}} \cr & x + y = 22\,......(i) \cr & {x^2} + {y^2} = 404\,......(ii){\text{ }} \cr & \therefore {\left( {x + y} \right)^2} = {x^2} + {y^2} + 2xy \cr & \Rightarrow {\left( {22} \right)^2} = 404 + 2xy \cr & \Rightarrow 484 = 404 + 2xy \cr & \Rightarrow 2xy = 80 \cr & \Rightarrow xy = 40 \cr} $$Related Questions on Simplification
A. 20
B. 80
C. 100
D. 200
E. None of these
A. Rs. 3500
B. Rs. 3750
C. Rs. 3840
D. Rs. 3900
E. None of these
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