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27 September, 11:13

Dan is fourteen years older than Marge. Eight years ago, Dan was three times as old as Marge. Find their present age.

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  1. 27 September, 11:26
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    Marge's present age = 14; Dan's present age = 29

    Step-by-step explanation:

    Present age

    Let Marge's present age be = M

    Dan's present age [D] : 14 years elder than Marge = M + 14

    8 years ago

    Marge Age = M - 8

    Dan's Age = D - 8 = (M + 14) - 8 = M + 6

    {Given} : Dan's age = 3 times Marge's age

    M + 6 = 3 (M - 8)

    M + 6 = 3M - 24

    6 + 24 = 3M - M

    30 = 2M

    M = 30/2

    M = 15 [Marge's present age]

    Dan's present age [D] = M + 14 = 29
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