Difference between revisions of "2025 AMC 8 Problems/Problem 1"

(Undo revision 215693 by Theumbrellaacademy (talk))
(Tag: Undo)
(Undo revision 215692 by Theumbrellaacademy (talk))
(Tag: Undo)
Line 1: Line 1:
Let m and n be 2 integers such that m <math>></math> n. Suppose m + n = 20, <math>m^2</math> + <math>n^2</math> = 328, find <math>m^2</math> - <math>n^2</math>.
+
Let m and n be 2 integers such that m > n. Suppose m + n = 20, + = 328, find - .
  
 
<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 07:08, 24 April 2024

Let m and n be 2 integers such that m > n. Suppose m + n = 20, m² + n² = 328, find m² - n².

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