A - Аня
t - Таня
m - Маня
1)
a + t = 61
t + m = 60
a + t + m = 90
2)
t = 61 - a
t + m = 60
a + t + m = 90
3)
t = 61 - a
61 - a + m = 60
a + t + m = 90
t = 61 - a
m = -1 + a
a + t + m = 90
4)
a + 61 - a + 60 - 61 + a = 90
a = 90 - 60
a = 30
5)
t = 61 - 30
t = 31
6)
m = -1 + 30
m = 29
Аня - 30, Таня - 31, Маня - 29
30 + 31 + 29 = 90