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Question

The sum of two numbers is 25 and their difference is 13. Find their product?



Options:
A .  104
B .  114
C .  315
D .  325
Answer: Option B

Let the numbers be x and y.
Then,x+y = 25 and x-y = 13.
4xy =(x + y)2-(x - y)2
=>(25)2-(13)2
=> 625-169=456
=> xy=114.




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