Difference between revisions of "2025 AMC 8 Problems/Problem 1"
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Let m and n be 2 integers such that m > n. Suppose m + n = 20, m² + n² = 328, find m² - n². | Let m and n be 2 integers such that m > n. Suppose m + n = 20, m² + n² = 328, find m² - n². | ||
| + | |||
| + | A) 280 | ||
| + | B) 292 | ||
| + | C) 300 | ||
| + | D) 320 | ||
| + | E) 340 | ||
<math>\textbf{(A)}\ 280 \qquad \textbf{(B)}\ 292 \qquad \textbf{(C)}\ 300 \qquad \textbf{(D)}\ 320 \qquad \textbf{(E)}\ 340</math> | <math>\textbf{(A)}\ 280 \qquad \textbf{(B)}\ 292 \qquad \textbf{(C)}\ 300 \qquad \textbf{(D)}\ 320 \qquad \textbf{(E)}\ 340</math> | ||
Revision as of 08:08, 24 April 2024
Let m and n be 2 integers such that m > n. Suppose m + n = 20, m² + n² = 328, find m² - n².
A) 280 B) 292 C) 300 D) 320 E) 340
