Final answer:
To find Betsy's age, we use the equation 14 = B/2 - 3, where B represents Betsy's age. This is derived from the information that Faye is 14 and her age is 3 years less than half of Betsy's age.
Step-by-step explanation:
The question asks to determine Betsy's age given that Faye is 14 years old and her age is 3 years less than half of Betsy's age. To represent this mathematically, let B be Betsy's age. According to the information provided, half of Betsy's age is B/2, and Faye being 3 years younger than this amount can be expressed as B/2 - 3. Since Faye is known to be 14, the equation to determine Betsy's age is:
F = B/2 - 3
Where F is Faye's age. Substituting Faye's actual age we get:
14 = B/2 - 3.
This is the equation that can be used to determine Betsy's age.