Question 86

If the sum of two numbers is 42 and their product is 437, then the absolute difference between the number is:

Solution

Let the two numbers be x and y.
Now, x+y = 42
x*y = 437
x*(42-x) = 437
42x - x^2 = 437
x^2 - 42x +437 = 0
We get x = 23 0r x = 19
i.e y = 19 or y = 23
Hence, the two numbers are 23 and 19.
Their difference = 23 -19 = 4
Therefore, the correct option is option B.
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