The sum and difference of two numbers are 19 and 7, respectively. What is the…
2023
The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares ?
Answer: C. 205 — Let the two numbers be x and y. We are given the system: x + y = 19 and x - y = 7. Adding the equations yields 2x = 26, so x = 13. Substituting x = 13 into…
- A.
190
- B.
200
- C.
205
- D.
210
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Correct answer: C
Let the two numbers be x and y.
We are given the system: x + y = 19 and x - y = 7.
Adding the equations yields 2x = 26, so x = 13.
Substituting x = 13 into the first equation gives y = 6.
The sum of their squares is 13² + 6² = 169 + 36 = 205.
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