A woman is three times as old as her daughter, six years ago, the sum of their age was 36,find the age of the daughter
w = 3d
(w-6) + (d-6) = 36
d=12
To find the age of the daughter, let's assign variables to the ages of the woman and her daughter.
Let's say the daughter's age is x years.
According to the information given, the woman is three times as old as her daughter. Therefore, the woman's age would be 3x years.
Six years ago, the daughter's age would have been x - 6, and the woman's age would have been 3x - 6.
According to the problem, the sum of their ages six years ago was 36. So we can set up the equation:
(x - 6) + (3x - 6) = 36
Now we can solve for x:
4x - 12 = 36
4x = 48
x = 12
Therefore, the daughter's age is 12 years old.