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JAMB - Mathematics (1986 - No. 12)

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?
1981
1979
1982
1978

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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

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