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23 January, 22:04

Paul is six years older than corinne. ten years ago twice paul's age was triple corinne's age. how old is paul

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  1. 23 January, 22:16
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    Paul's age = 6 years + Corinne's age

    (Paul's age - 10 years) = 3 times (Corinne's age - 10 years)

    Let's rewrite it so it's cleaner:

    P = 6 + C

    P - 10 = 3 (C - 10)

    Question is P = ? years.

    P = ? = 6 + C

    We need to know what C is ... the second equation can tell us:

    P - 10 = 3C - 30

    P + 20 = 3C

    P/3 + 20/3 = C

    So now we know what C is ... we can replace it into the first equation:

    P = 6 + [P/3 + 20/3]

    we just need to simplify now ... it's easiest to get rid of the fractions first:

    3P = 18 + P + 20

    2P = 38

    P = 19

    Answer is Paul's age is now 19 years.
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