My son has brought the below problem from his school and unable to achieve the solution. please advise if any one could help how to resolve this.
Problem: Four positive integers are arranged in a 2 X 2 table. For each row and column of the table, the product of the two numbers in a row or column is calculated. When all four such products are added together, the result is 1001. What is the largest possible two numbers in the table that are neither in the same row nor in the same column?"