In 1984, Ike was 24 yrs old and his father was 45 yrs old. In…

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?

Correct Answer: Option A

Explanation

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