The total number of members should be the sum of the number of men, x, and women, y, and that should be equal to 150. In mathematical equation that should be,
x + y = 150
If we are to note that there are 34 more men than women in the team, we can say that,
y = x - 34
The equation then would become,
x + (x - 34) = 150
The value of x from the equation is equal to 92. With this, the number of the women is equal to 58.