11. Four less than a number tripled is the same number increased by ten.
What is the number?

7

Step-by-step explanation:

first, we would set up an equation. let 3x-4 represent "four less than a number tripled". "a number" would be represented by x. let x+10 represent "the same number increased by 10".

set 3x-4 and x+10 equal to each other:

3x-4=x+10

next, we would solve this equation for x. first we would get the x together on one side of the equation. we would do this by subtracting x from both sides to remove it from the right side of the equation:

2x-4=10

then, we would get the 2x by itself. we would do this by adding 4 to both sides:

2x=14

finally, we would divide each side of the equation by 2 to find x:

x=7.

The number is 7.