Solution:

Given:

- 45% of men are married
- 25% of women are married

To find:

- Percentage of the total population of adults that are married

Assumptions:

- No man marries more than one woman and vice versa.

Approach:

- Let the total adult population be 100.
- Let the number of men be 'm' and the number of women be 'w'.
- Then, we have m + w = 100.
- Let the percentage of married men be 'x' and the percentage of married women be 'y'.
- Then, we have:

- x% of m = (x/100)m = number of married men
- y% of w = (y/100)w = number of married women

- We need to find the percentage of the total population that is married. Let this be 'z'.
- Then, we have:

- z% of 100 = (number of married men + number of married women)/100

- Substituting the values, we get:

- z% of 100 = [(x/100)m + (y/100)w]/100

- Now, we can use the fact that m + w = 100 to express m and w in terms of one variable. Let's express m in terms of w:

- m + w = 100
- m = 100 - w

- Substituting this value in the equation for the number of married men, we get:

- (x/100)m = (x/100)(100 - w) = (x/100)100 - (x/100)w = x - (x/100)w

- Similarly, substituting the value of m in the equation for the number of married women, we get:

- (y/100)w = (y/100)(100 - m) = (y/100)w - (y/100)100 = y - (y/100)w

- Substituting these values in the equation for z, we get:

- z% of 100 = [(x - (x/100)w) + (y - (y/100)w)]/100
- z = (x + y - (x + y)/100*w)

- Now, we can substitute the given values of x and y to get the final answer for z.

Answer:

- Percentage of the total population that is married = z
- z = (45 + 25 - (45 + 25)/100*w) = 65 - 0.7w

- Since w is between 0 and 100, z is between 65 (when w = 0) and 0 (when w = 100).
- Therefore, we cannot determine the exact value of z without knowing the value of w.
- However, we can say that z is a decreasing function of w, which means that as the percentage of women in the population increases, the percentage of married adults in the population decreases.