In 1984, Ike was 24 years old and his father 45 years. In what year was Ike exactly half his father's age?
let the number of years be x
24 + x = (1/2)(45 + x)
48 + 2x = 45 + x
x = -3
I interpret that as 3 years before 1984 or in 1981
check: at that point Ike was 21 and his dad was 42, so he was
1/2 of his dad's age
To determine the year when Ike was exactly half his father's age, we need to find the difference in their ages and then calculate the midpoint.
First, let's find the age difference:
Ike's age = 24 years
Father's age = 45 years
Age difference = Father's age - Ike's age = 45 - 24 = 21 years
Now, let's calculate the midpoint:
Midpoint = Age difference / 2 = 21 / 2 = 10.5 years
To find the year when Ike was exactly half his father's age, we add the midpoint to Ike's age (24) and subtract the result from the current year.
Current year - (Ike's age + Midpoint) = Year when Ike was exactly half his father's age
However, as the current year is not mentioned in the question, it is not possible to determine the exact year without knowing the current year.