SOLUTION: In five years a woman will be three times as old as her daughter will be. Three years ago, the woman was five times as old as her daughter was then. Find their present ages.

Question 953997: In five years a woman will be three times as old as her daughter will be. Three years ago, the woman was five times as old as her daughter was then. Find their present ages.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In five years a woman will be three times as old as her daughter will be. Three years ago, the woman was five times as old as her daughter was then. Find their present ages.
-------------------
Equations:
w+5 = 3(d+5)
w-3 = 5(d-3)
------------------
Rearrange::
w - 3d = 10
w - 5d = -12
---------------------
Subtract and solve for "d":
2d = 22
Daughter's age is 11 yrs now
---------------------------
Solve for "w":
w - 3d = 10
w - 33 = 10
Woman's age is 43 yrs now
---------------------
Cheers,
Stan H.
-------------
RELATED QUESTIONS
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)

Two years ago a woman was 4 times as old as her daughter. Three years from now the mother (answered by macston)

Two years ago, a woman was 7 times as old as her daughter but in three years, she will be (answered by MathTherapy)

Two years ago a woman was 7 times as old as her daughter but in three years, she will be... (answered by josgarithmetic,ikleyn)

A year ago a mother was four times as old as her daughter. Three years ago she was five... (answered by ankor@dixie-net.com)

A woman is three times as old as her daughter, but in 12 years she will be just twice as... (answered by Alan3354,josgarithmetic)

two years ago, a woman was seven times as old as her daughter but in three years she... (answered by josgarithmetic)

The sum of the ages of a woman and her son is 64 years. In 4 years time the woman will be (answered by MathLover1)

A woman is now five times as old as her son. in five years time she will be three times... (answered by TimothyLamb)