Question

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.

Explanation:

Step1: Translate the problem into an equation

The difference between Sarah's age \( a \) and 44 is \( a - 44 \) (since she is older than 44). 4 times this difference is \( 4(a - 44) \), and this equals 64. So the equation is \( 4(a - 44)=64 \).

Step2: Solve the equation for \( a \)

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

Answer:

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