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

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

Correct answer is A

Let the no. of years be y

24 - y = 12(45 - y)

45 - y = 2(24 - y)

45 - y = 48 - 2y

2y - y = 48 - 45

∴ y = 3

The exact year = 1984

1984 - 3 = 1981