Question

The sum of two numbers is 38. The greater number is 8 more than the other number. Find each number. Use a system of linear equations to justify your answer

Answer 1

x + y = 38

x = y + 8

y + 8 + y = 38

2y + 8 = 38

2y = 30

y = 15, x = 23

The numbers are 15 and 23.