Question

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.

Answer 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

Answer 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