If the sum of two numbers is 42 and their product is 437, then find the
absolute difference between the numbers.
(A) 4 (B) 8 (C) 16 (D) 64
Answer: ADescription:
Let the numbers be x and y. Then, x + y = 42 and xy = 437
x - y = sqrt[(x + y)2 - 4xy] = sqrt[(42)2 - 4 * 437 ] = sqrt[1764 – 1748] = sqrt[16] = 4.
Required difference = 4.
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