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13 January, 15:57

Dana, Neil and Frank are siblings. Dana is the oldest.

a. Frank's age is one-fourth of Dana's age. Write an equation to represent Frank's age (f) if Dana's age is d years.

b. Neil's age is one-half of the difference between Dana's and Frank's ages. Write an equation to represent Neil's age (n) in terms of Dana's age (d).

c. Use the equations to find Neil's and Frank's ages if Dana is 16 year's old.

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  1. 13 January, 16:23
    0
    Given:

    Dana

    Neil

    Frank

    a) Frank's age is one-fourth of Dana's age.

    Dana's age = d

    Frank's age = f

    f = 1/4 * d

    f = d/4

    b) Neil's age is one-half of the difference between Dana's age and Frank's age.

    Neil's age = n

    n = 1/2 * (d - d/4)

    n = d/2 - d/8

    c) dana is 16 year's old.

    f = d/4 = 16/4 = 4

    n = d/2 - d/8 = 16/2 - 16/8 = 8 - 2 = 6

    Dana is 16 years old

    Neil is 6 years old

    Frank is 4 years old
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