Question

the sum of the ages of a mother and a daughter is 32 years, and the age of the mother is seven times that of the daughter.what is the age of each

Answer 1

This would b 7a(mother) plus a(daughter) equals 32. 7a + a = 8a. 8a=32. Divide eight from both sides and you get a=4. So the daughter is four and the mother is seven times that, which is twenty eight. Four plus twenty eight equals thirty two, so those are your answers.
The daughter is 4 the mother is 28

Answer 2

32-x = 7(x)
32-x = 7x
32 = 8x
4 = x (daughter's age)

32-4 = 7(4)
28 = 28
28 (mother's age)