If four times a certain number increased by 6 is equal to 94, what is the number?

To solve the equation, let’s denote the certain number as x. According to the problem, we can translate the statement into a mathematical equation:

4x + 6 = 94

Now, we need to isolate x. First, we will subtract 6 from both sides of the equation:

4x + 6 – 6 = 94 – 6

4x = 88

Next, to find x, we will divide both sides of the equation by 4:

x = 88 / 4

x = 22

Therefore, the certain number is 22.