The sum of two numbers is 46. The larger number is two less than three times the smaller number. Find the numbers.‍♀️

Smaller number: 12

Larger number: 34

Step-by-step explanation:

Let x represent the smaller number.

Let 3x - 2 represent the larger number (The larger number is two less than three times the smaller number, or x)

x + 3x -2 = 46

   Add 3x + x:

4x - 2 = 46

   Add 2 to both sides:

4x = 46 + 2

   Add 46 + 2:

4x = 48

    Divide both sides by 4:

4x/4 = 48/4

x = 12 is the smaller number

Since 12 is the smaller number, and the sum of the two numbers is 46, than the larger number must be 34.

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