AlgebraMediumSum of squares from a sum and a difference
Algebra practice question
Two numbers have a sum of 16 and a difference of 6. What is the sum of their squares?
- A. 146Correct
- B. 256
- C. 110
- D. 55
Answer: A. 146
Adding the equations gives 2x = 22, x = 11, y = 5. Then 11² + 5² = 121 + 25 = 146.
Why the other answers are wrong
- B. 256
- 256 is 16², the square of the sum, not the sum of the squares.
- C. 110
- 110 is 2 × 55, twice the product.
- D. 55
- 55 is the product.
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