Problem:thecentral Ohio ski and board club has 150 members. There are 34 more men than women let x represent the number of men and y represent the number of woman write an equation, in terms of x and y which shows the total number of members.

The total number of members in the club is 150, Men are equal to x and women are equal to y. Men = x and women = y

But x = y + 34 (since men are 34 more than the women),

However, in terms of x and y the total number of members will be given by

x + y = 150

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.