If 3 is added to a number and the sum is tripled, the result is 13 more than the number.
Formulating the equation, we have:
If 3 is added to a number: 3+x
and the sum is tripled: 3(3+x)
the result is 13 more than the number: 3(3+x) = 13 +x
Solving the equation, we have:
9+3x = 13 +x (Distributing)
3x=4 + x (Subtracting 9 from both sides of the equation)
2x = 4 (Subtracting x from both sides of the equation)
x=2 (Dividing by 2 on both sides of the equation)
The answer is 2.