Question 932019
x the mother's age
x + x/2 + (x+5) = 100
2x + x + 2(x+5) = 200
5x = 190
x = 38, the mother's age.
daughter is 19 {{{38/2}}}  and father is 43 {{{38+5}}}
And...checking
38 + 19 + 43 = 100