Posted by **ael** on Tuesday, September 20, 2011 at 10:04pm.

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?

- math -
**Steve**, Wednesday, September 21, 2011 at 11:33am
Let the ages be woman=w, son=s, father=f.

The first sentence f=5s.

Now, the woman will as old as her father in f-w years. The son will then be s+f-w years old. The second sentence says that s+f-w = 8+w.

The 3rd sentence says that w+f = 100.

So, we have three equations, which we can start combining:

5s+w = 100

s+f-w = w+8

5s + w = 100

6s - 2w = 8

-------------

16s = 208

s=13

f = 5s = 65

w = 100-65 = 35

So, in 30 years, the woman will be as old as her father is now(65), and the son will be 43, which is 8 years older than she is now.

- math -
**Anonymous**, Thursday, October 13, 2011 at 6:15pm
The number 34,459,425 is the product of several consecutive positive odd numbers. What is the greatest of these numbers?

## Answer This Question

## Related Questions

- math - A father is now three times as old as his son, twelve years ago he was ...
- Kathie - In four years' time, a father will be three times as old as his son. ...
- algebra - The combined age of a father and his two sons is 50 years. Four years ...
- algebra - in four years's time a father will be three times as old as his son. ...
- Algebra (Age Problem) - A man is 6 times as old as his son. In 4 years he will ...
- math - a father is 7times as old as his son .two years ago,the father was ...
- MATH - 1. A father is three times as old as his son. Five years ago the sum of ...
- Math - In five years,Emma will be three years more than twice as old as her son...
- Math - I cant figure this out! Can someone please tell me were my mistake is...
- math - Dr. Escalera is now three times as old as his son. Twelve years from now...

More Related Questions