Three fathers named Adam, Bill, and Cecil are married to women named Diane, Efie, and Gwen, but not necessarily in that order. Each couple has a daugher. Their names are Heidi, Ida, and Jan. Who is married to whom and what is the name of each couple's child?

A

To solve this puzzle, let's go through the given information step-by-step and use logic to determine the correct combinations.

Step 1: Adam, Bill, and Cecil are married to Diane, Efie, and Gwen, but not necessarily in that order.

Step 2: Each couple has a daughter - Heidi, Ida, and Jan.

Step 3: Let's consider the first clue: Adam, Bill, and Cecil are married to Diane, Efie, and Gwen, but not necessarily in that order.

- Since each father is married to a different woman, we can deduce that no two couples have the same wife.
- Let's assign the names Adam, Bill, and Cecil to the fathers and Diane, Efie, and Gwen to the mothers.

Step 4: Let's consider the second clue: Each couple has a daughter - Heidi, Ida, and Jan.

- We know for sure that each couple has a unique daughter, so no two fathers have the same daughter.
- Let's assign the names Heidi, Ida, and Jan to the daughters.

Step 5: Now we need to match each father with his wife and daughter.

From the information we have so far:
- Adam, Bill, and Cecil are married to Diane, Efie, and Gwen.
- Each couple has a unique daughter: Heidi, Ida, and Jan.

Let's use the process of elimination and further clues to solve the puzzle:

- Since each couple has a daughter and the daughters' names are Heidi, Ida, and Jan, respectively, we can conclude that Bill and Gwen are not a pair (as there is no daughter named Gwen).
- Similarly, since there is no girl named Adam, we can deduce that Adam and Diane are not married.
- This means that Cecil and Efie must be married, leaving Adam and Bill with the remaining combinations.

Now, we know that Cecil and Efie are married. So, the remaining combinations are:
- Adam and Gwen
- Bill and Diane

Using the information from the clues, we can determine the following pairings:
- Adam is married to Gwen.
- Bill is married to Diane.
- Cecil is married to Efie.

Finally, we can match the daughters with their respective parents:
- Adam and Gwen's daughter is Jan.
- Bill and Diane's daughter is Heidi.
- Cecil and Efie's daughter is Ida.

Therefore, the pairings are as follows:
- Adam is married to Gwen, and their daughter is Jan.
- Bill is married to Diane, and their daughter is Heidi.
- Cecil is married to Efie, and their daughter is Ida.

To solve this puzzle, we need to consider the given information and use a process of elimination to determine the correct answers. Let's break it down step by step:

1. We know that there are three couples: Adam and Diane, Bill and Efie, and Cecil and Gwen.
2. Each couple has a daughter: Heidi, Ida, and Jan.

Let's start by identifying the father and daughter pairs:

1. Adam, Bill, and Cecil are the fathers.
2. Heidi, Ida, and Jan are the daughters.

Now, let's use the provided clues to figure out the relationships:

1. Adam is not married to Gwen because Gwen is married to Cecil.
2. Therefore, Adam is married to either Diane or Efie.
3. Bill is not married to Diane because Diane is married to Adam. So, Bill must be married to either Efie or Gwen.
4. Cecil is married to Gwen, leaving Bill with Efie.
5. Adam is married to Diane.
6. Diane and Adam have one daughter left, so Heidi must be their daughter.
7. Now we know that Bill is married to Efie, leaving Gwen for Cecil.
8. Adam and Diane have Heidi, Bill and Efie have another daughter remaining, Ida, and Cecil and Gwen have Jan as their daughter.

In conclusion, the pairings are as follows:
- Adam is married to Diane, and their daughter is Heidi.
- Bill is married to Efie, and their daughter is Ida.
- Cecil is married to Gwen, and their daughter is Jan.