The equation to determine Sarah's age is 64 = 4(a - 44), and by solving this equation, we find that Sarah's age is 60.
To determine Sarah's age, let's break down the given information and solve the problem step-by-step.
First, we are told that 64 is 4 times the difference between Sarah's age, a, and 44. This can be expressed as:
64 = 4(a - 44)
To solve for Sarah's age, we need to isolate the variable a. Let's simplify the equation:
64 = 4a - 176
Next, let's move the constant term (-176) to the other side of the equation by adding 176 to both sides:
64 + 176 = 4a
240 = 4a
To solve for a, we divide both sides of the equation by 4:
240/4 = a
60 = a
So, Sarah's age is 60.