Posted by **deli** on Sunday, September 14, 2008 at 12:22am.

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.

- problem solving -
**Anonymous**, Sunday, September 14, 2008 at 1:04am
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

- problem solving -
**Reiny**, Sunday, September 14, 2008 at 1:06am
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

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