problem solving

1) Three generations
the grandson is about as many days old as the son is in weeks. The grandson is approximately as many months old as the father is in years. The ages of the grandson, the son, and the father add up to 120 years. What are their ages in years.

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asked by deli
  1. let the age of the grandson be x days
    so the age of the son is x weeks
    and the age of the father is x/30 years

    so,...
    Grandson = x days = x/30 months = x/365 years
    Son = x weeks = x/5s years
    father = x/30 years

    then x/30 + x/52 + x/365 = 120

    x(1/30 + 1/52 + 1/365) = 120

    I used my calculator to find x = appr. 2170 days

    so the father is 2170/30 or 72 yrs
    the son is 2170/52 or 42 yrs
    grandson is 2170/365 or 6 years

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    posted by Anonymous
  2. The previous was my solution, should have said Reiny instead of Anonymous

    let the age of the grandson be x days
    so the age of the son is x weeks
    and the age of the father is x/30 years

    so,...
    Grandson = x days = x/30 months = x/365 years
    Son = x weeks = x/5s years
    father = x/30 years

    then x/30 + x/52 + x/365 = 120

    x(1/30 + 1/52 + 1/365) = 120

    I used my calculator to find x = appr. 2170 days

    so the father is 2170/30 or 72 yrs
    the son is 2170/52 or 42 yrs
    grandson is 2170/365 or 6 years

    1. 👍 0
    2. 👎 0
    posted by Reiny

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