64 is 4 times the difference between sarahs age, a, and 44. assume sarah is older than 44. write an equation…

64 is 4 times the difference between sarahs age, a, and 44. assume sarah is older than 44. write an equation to determine sarahs age (a). find sarahs age.

64 is 4 times the difference between sarahs age, a, and 44. assume sarah is older than 44. write an equation to determine sarahs age (a). find sarahs age.

Answer

Explanation:

Step1: Translate the problem into an equation

Since 64 is 4 times the difference between Sarah's age $a$ and 44, the equation is $64 = 4(a - 44)$.

Step2: Solve the equation for $a$

First, divide both sides of the equation by 4: $\frac{64}{4}=\frac{4(a - 44)}{4}$, which simplifies to $16=a - 44$. Then, add 44 to both sides: $16+44=a-44 + 44$, so $a=60$.

Answer:

The equation is $64 = 4(a - 44)$ and Sarah's age $a = 60$.