SOLUTION: The sum of the ages of a woman and her son is 64 years. In 4 years time the woman will be three and half times as old as her son. How old were they three years ago?

Question 1139422: The sum of the ages of a woman and her son is 64 years. In 4 years time the woman will be three and half times as old as her son. How old were they three years ago?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

let the age of a woman be and her son’s age be
given:

.....eq.1
in years time the woman will be = times as old as her son:

........eq.2
from eq.1 and eq.2 we have:

=> her son’s age now
.....eq.1

=>the woman’s age now
How old were they three years ago?
=> son’s age three years ago
=> woman’s age three years ago

RELATED QUESTIONS
The sum of ages of a woman and her son is 64years. In 4years time, the woman will be... (answered by Boreal)

a woman is 3 times as old as her son. In 12 years' time, the sum of their ages will be... (answered by TimothyLamb)

The sum of the ages of a woman and her son is 30. In 24 years, her son will be half as... (answered by hamsanash1981@gmail.com)

The sum of the ages of a woman and her son is 36 years. Six years from now the... (answered by stanbon)

The sum of the ages of a woman and her son is 36 years. Six years from now the woman will (answered by Fombitz)

The sum of the ages of a woman and her son is 36 years. Six years from now the woman will (answered by TimothyLamb)

A woman has a daughter and a son. The son is three years older than the daughter. In one... (answered by ankor@dixie-net.com)

A woman is 5 years older than her husband and 10 times as old as their daughter. In 14... (answered by ankor@dixie-net.com,MathTherapy)

Four years ago a woman was three times as old as her sister. in five years time she will... (answered by ankor@dixie-net.com)