The sum of two numbers is 46 one number is three times the second number minus 6 what are the two numbers

Let x = be the smaller number

3x - 2 = be the Larger Number

x + 3x -2 = 46

4x - 2 = 46

4x = 46 + 2

4x = 48

4x/4 = 48/4

x = 12 is the smaller number

3(12) - 2

36–2

34 is the larger number

The Numbers are 12 and 34

to check

12 + 3(12) - 2 = 46

12 + 36 - 2 = 46

46=46

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