Let’s say that the present age ofNorma’s daughter is ‘x’ years. Then 4 years ago, her age was (x - 4) years. Therefore, Norma’s age 4 years ago was: (x - 4) + 3(x - 4) = 4(x - 4) years. 6 years from now, the daughter’s age will be (x + 6) years, and Norma’s age will be: 2(x + 6) years.
Now, 6 years from now will be (6+4), i.e., 10 years away from 4 years ago. Thus, Norma’s age 6 years from now can also be written as 4(x - 4) + 10 = (4x - 6) years. Therefore, 2(x + 6) = 4x - 6.
Or, 2x + 12 = 4x - 6.
Or, 2x = 18.
Thus, the daughter’s age (x) = 9 years, and Norma’s present age = 4(x - 4) + 4 = 24 years.
