The two numbers have a sum of 5 and a difference of 11. By setting up two equations, the numbers were found to be 8 and -3.

1. The sum of two numbers is 5. The difference of the numbers is 11. What are the two numbers? x = 1st number y = 2nd number x + y = 5 x – y = 11 2x = 16 2 2 x = 88 and -3 x + y = 5 8 + y = 5-8 -8 y = -3

2. Two numbers have a sum of 25. One number is five more than the other. Find the numbers. x + y = 25(y + 5) + y = 25 2y + 5 = 25 -5 -5 2y = 20 2 2 y = 10x + y = 25x = y + 510 and 15x = y + 5x = 10 + 5x = 15

3. One number is two more than three times another. Their sum is 26. Find the numbers. x + y = 26(3y + 2) + y = 26 4y + 2 = 26 -2 -2 4y = 244 4 y = 6x = 3y + 2x + y = 266 and 20x = 3y + 2x = 3(6) + 2x = 18 + 2x = 20