Your question is worded improperly.....
I will assume you want to know sis age when xing becomes half his father's age at the time ...in the future
15+x = 1/2 (46+x) where x is th years from now when xing reaches 1/2 father's age
.5x - 8
x = 16 more years 8+16 = sis age = 24 y/o