Multiple choice

What approximate value should come in place of the question mark (?) in the given equation? (23.99)2 + (11.99)2 - ? = (26.01)2 + (7.01)2

  1. 5

  2. 9

  3. 14

  4. 16

  5. 18
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A Correct answer
Explanation

Approximating the values: 24^2 + 12^2 - ? = 26^2 + 7^2. This becomes 576 + 144 - ? = 676 + 49. Simplifying, 720 - ? = 725, so ? = -5. Given the options, there is a likely sign error in the question or options, but 5 is the closest magnitude.

AI explanation

We approximate the decimals to their nearest integers, changing the equation to 24 squared + 12 squared minus the unknown equals 26 squared + 7 squared. Calculating the squares gives 576 + 144 minus the unknown equals 676 + 49. This simplifies to 720 minus the unknown equals 725. Solving for the unknown gives a result of -5, making its positive magnitude closest to 5.

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