At the eve of marriage anniversary of Tristan and lseult some special couples were invited. Out of them only 23 couples were there having one child per couple with them. When I observed it, I found that 13 men were without any child and 20 women were also without any child. It is known that there were only couples allowed to attend the ceremony. For your kind information we will not consider the couple (i.e., Tristan and Iseult) for any calculation, since they are hosts. The total number of couples who attended the party (i.e., anniversary).

Options

A. 28
B. 30
C. 33
D. can't be determined

Answer

To solve the problem, we need to analyze the information given about the couples and their children.

### Step-by-Step Solution:

1. **Identify the Total Number of Couples:**
- We know that there were 23 couples present at the anniversary party, and each couple has one child with them.
- Therefore, the total number of couples is 23.

2. **Count the Men and Women:**
- Since each couple consists of one man and one woman, the total number of men and women at the party can be calculated as follows:
- Total Men = 23 (one for each couple)
- Total Women = 23 (one for each couple)

3. **Identify Men Without Children:**
- According to the problem, there are 13 men who are without any child. This means these men do not have children with them at the party.

4. **Identify Women Without Children:**
- Similarly, there are 20 women who are without any child. This means these women do not have children with them at the party.

5. **Calculate the Total Number of Couples:**
- Since the problem states that only couples are allowed to attend the ceremony, we need to consider the total number of couples who attended the party.
- The total number of couples who attended the party is given as 23.

6. **Conclusion:**
- Therefore, the total number of couples who attended the anniversary party is **23 couples**.

### Final Answer:
The total number of couples who attended the party is **23 couples**.

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