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  • What is the sum of two consecutive odd numbers, the diffe...
Multiple choice general knowledge math & puzzles

What is the sum of two consecutive odd numbers, the difference of whose squares is 48?

  1. 24

  2. 28

  3. 32

  4. 36

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A Correct answer
Explanation

Let consecutive odd numbers be n and n+2. Then (n+2)²-n²=48, giving 4n+4=48, so n=11. The numbers are 11 and 13, with sum 24. This uses the algebraic identity (x+y)²-(x-y)²=4xy.

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