when random variable X and Y is reprensted the number of man and woman respectively,

can it be calaculated the distribution of the ratio between man and women when the sum of man and woman is decided?

for example,

if X and Y are following normal distribution with (μX,σX) and (μY,σY),

i want to get the distribution function of the ratio between man & woman (X/Y) when the sum of man and woman is 100 (X+Y=100)

help me guys!

thank you!