Difference between revisions of "2025 AMC 8 Problems"

Revision as of 08:38, 18 February 2024

$1)$ Let $m$ and $n$ be $2$ integers such that $m>n$ . Suppose $m+n=20$ , $m^2+n^2=328$ , find $m^2-n^2$ .

$\textbf{(A)}\ 280 \qquad \textbf{(B)}\ 292 \qquad \textbf{(C)}\ 300 \qquad \textbf{(D)}\ 320 \qquad \textbf{(E)}\ 340$

$2)$

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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.
+<math>1)</math> Let <math>m</math> and <math>n</math> be <math>2</math> integers such that <math>m>n</math>. Suppose <math>m+n=20</math>, <math>m^2+n^2=328</math>, find <math>m^2-n^2</math>.
-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>2)</math>