In 1984, Ike was 24 yrs old and his father was 45 yrs old. In what year was Ike exactly half his father's age?
A
1981
B
1979
C
1982
D
1978
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Let the no. of years be y
24 - y = \(\frac{1}{2}\)(45 - y)
45 - y = 2(24 - y)
45 - y = 48 - 2y
2y - y = 48 - 45
∴ y = 3
The exact year = 1984
1984 - 3 = 1981
Source: Myschool Past Questions Archive (Record #32031)