the sum of two numbers is 58. the smaller number is 18 less then the larger number what are the numbers?

1 answer

a = smaller number

b = larger number

a = b - 18

a + b = 58

b - 18 + b = 58

2 b - 18 = 58 Add 18 to both sides

2 b - 18 + 18 = 58 + 18

2 b = 76 Divide both sides by 2

2 b / 2 = 76 / 2

b = 38

a = b - 18

a = 38 - 18 = 20

smaller number = 20

larger number = 38