64 is 4*16
so the difference between a and 44 is 16
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Write an equation to determine Sarah's age (a)
so the difference between a and 44 is 16
...
The problem states 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 this equation and determine the value of a, we can start by simplifying it. Distribute the 4 to the terms inside the parentheses:
64 = 4a - 4 * 44
Now, simplify the right side of the equation:
64 = 4a - 176
Next, bring all the terms with variables to one side of the equation and the constant term to the other side by adding 176 to both sides:
64 + 176 = 4a
Combine like terms:
240 = 4a
Finally, divide both sides by 4 to solve for a:
a = 240 / 4
Simplifying further:
a = 60
Therefore, Sarah's age is 60.