Multiple choice general knowledge math & puzzles

2 numbers differ by 5.If their product is 336,then the sum of the 2 numbers is:

  1. 21

  2. 51

  3. 28

  4. 37
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D Correct answer
Explanation

Let the numbers be x and y. x - y = 5 and xy = 336. Using the identity (x + y)^2 = (x - y)^2 + 4xy, we get (x + y)^2 = 5^2 + 4(336) = 25 + 1344 = 1369. Taking the square root of 1369 gives 37. The numbers are 21 and 16.

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