Question

The sum of the ages of a woman and her daughter is 58years. In six years time the ratio of their ages will be 27 :8. Find their present ages.

Answer 1

w + d = 58
(w+6) / (d+6) = 27/8
Solve for w and d. Just to get you started these simplify to
w + d = 58
8w - 27d = 114
so have at it.

Answer 2

w + d = 58 ... w = 58 - d

(w + 6) / (d + 6) = 27 / 8 ... 8 w + 48 = 27 d + 162 ... 8 w = 27 d + 114

8(58 - d) = 27 d + 114

solve for d , then substitute back to find w