w = 6d
(w-7) + (d-7) = 49
now just solve for w.
A.9 years
B.30 years
C.54 years
D.45 years?
(w-7) + (d-7) = 49
now just solve for w.
6x = woman's age.
Seven years ago:
(x-7) + (6x-7) = 49,
X = 9.
6x = 54.
Let's say the daughter's age is x.
Therefore, the woman's age would be 6x, as stated in the problem.
Seven years ago, the daughter's age would have been x - 7, and the woman's age would have been 6x - 7. The problem states that their sum was 49:
(x - 7) + (6x - 7) = 49
Now, we can solve this equation to find the value of x, which represents the daughter's current age:
7x - 14 = 49
7x = 63
x = 9
So, the daughter's current age is 9. To determine the age of the woman, we substitute x back into the equation 6x:
6 * 9 = 54
Therefore, the age of the woman is 54 years. Option C, 54 years, is the correct answer.