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Question
The sum of squares of two numbers is 80 and the square of their difference is 36. The product of the two numbers is:
Options:
A .  22
B .  44
C .  58
D .  4 1/4
Answer: Option A


Numbers be a and b. 
=> a2 + b2 = 80 and (a - b) 2 = 36 
=> (a - b) 2 = 36 
=> a2 + b2 “ 2ab = 36 
 => 2ab = (a2 + b2) “ 36 = 80 “ 36 = 44 
 => ab = 22.



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