a woman is three times as old as her daughter. six years ago, the sum of their ages was 36. find age of the daughter
Let's assume the daughter's age is x years.
According to the problem, the woman is three times as old as her daughter, so her age would be 3x years.
Six years ago, the daughter's age would have been x - 6 years, and the woman's age would have been 3x - 6 years.
The sum of their ages six years ago was 36, so we can write the equation:
(x - 6) + (3x - 6) = 36.
Simplifying the equation gives:
4x - 12 = 36.
Adding 12 to both sides gives:
4x = 48.
Dividing both sides by 4 gives:
x = 12.
Therefore, the daughter's age is 12 years.