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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

4`xy `= `(x +y)^2 - (x - y)^3`=   `(25)^2 - (14)^2` =  625 - 169 =  456   `rArr`   `xy` = 114




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