1. The problem statement, all variables and given/known data 1. Given a 5 by 5 square with the numbers 1,2,3,4,.....,25 in sequence in the successive rows. Pick out five numbers so that no two of them are in the same row or same column. What is their sum? Prove that this sum is constant for any five numbers chosen this way. 2. The points A(5,6) and C(3,0) are opposite vertices of rectangle ABCD. The other two vertices B and D, lie on the line y=3, with B having a positive abscissa. Find the coordinates of vertices B and D. 2. Relevant equations First problem uses addition. Second problem uses an equation having to do with abscissas?