# problem solving

posted by .

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 -

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 -

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

## Similar Questions

1. ### essay

Phoenix Jackson is Eudora Welty's major character in the short story, "A Worn Path." She is a very old and fragile, African American woman struggling against herself and nature to retrieve medice for her sickly grandson. Throughout …
2. ### math

When a woman is as old as her father is now, she will be five times as old as her son is now. By then, her son will be eight years older than she is now. The combined ages of her father and herself are 100 years. How old is her son?
3. ### Kathie

In four years' time, a father will be three times as old as his son. Six years ago, he was seven times as old as his son. How old are they now?
4. ### Algebra

Ten years ago a man was three times as old as his son. In twelve more years,the son is three fifths as old as his father.what were their ages 5 years ago?
5. ### Math

Ten years ago a man was three times as old as his son. In twelve more years, the son is three-fifths as old as his father. What were their ages 5 years ago?
6. ### math

A father is now three times as old as his son, twelve years ago he was six times as old as his son. how old are the son and the father?
7. ### Math

A father who is 42 years old has a son and a daughter. The daughter is three times as old as the son. In 10 years the sum of all their ages will be 100 years. How old are the two siblings at present?
8. ### Math

The sum of the ages of a father and his son is 62 years. 15 years ago, the father was 7 times as old as his son. How old is the son now?
9. ### Mathematics

Two years hence,a father will be six times as old as his son.Three years ago,the father was five times as old as his son will be twoyears hence,find the present ages of father and son
10. ### Math

A father who is 42 years old has a son and a daughter. The daughter is three times as old as the son. In 10 years, the sum of all their ages will be 100 years. How old are the two siblings at present?

More Similar Questions