Question

The sum of two numbers is 42. the larger number is 12 more than 4 times the smaller number.

Answer 1

Smaller number = 6

Larger number = 36

Explanation:

Let the smaller number be x

Larger number = 4x + 12

Sum of two numbers = 42

x + 4x + 12 = 42 {Add like terms}

5x + 12 = 42 {Subtract 12 from both sides}

5x = 42 - 12

5x = 30 {Dive both sides by 5}

5x/5 = 30/5

x = 6

Smaller number = 6

Larger number = 4*6 + 12 = 24 + 12 = 36