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


Question

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?

Options

A) 1981

B) 1979

C) 1982

D) 1978

The correct answer is 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

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Dicussion (1)

  • 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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