Question

two numbers have the sum of 24, and 3 times the first number minus the second number is equal to 12. what are the two numbers

Answer 1

9 and 15

Explanation:

Let x = the first number

Let y = the second number

x + y = 24 Write the equations and add together

3x -y = 12

4x = 36 Divide both sides by 4

x = 9

Substitute 9 back into one of the original equations to solve for y

x + y = 24

9 + y = 24 Subtract 9 from both sides

y = 15