In a certain code language, the following symbols represent family relationships:

- $A + B$ means '$A$ is the mother of $B$'
- $A - B$ means '$A$ is the brother of $B$'
- $A imes B$ means '$A$ is the wife of $B$'
- $A \div B$ means '$A$ is the father of $B$'

Based on the above, how is $U$ related to $Z$ if the expression is:

$$U + V \div W - Y imes Z$$

Question

In a certain code language, the following symbols represent family relationships:

- $A + B$ means '$A$ is the mother of $B$'
- $A - B$ means '$A$ is the brother of $B$'
- $A 	imes B$ means '$A$ is the wife of $B$'
- $A \div B$ means '$A$ is the father of $B$'

Based on the above, how is $U$ related to $Z$ if the expression is:

$$U + V \div W - Y 	imes Z$$

Accepted Answer

**Solution:**

1. Analyze the expression step-by-step:

- $U + V$ means $U$ is the mother of $V$.

- $V \div W$ means $V$ is the father of $W$.

- $W - Y$ means $W$ is the brother of $Y$.

- $Y 	imes Z$ means $Y$ is the wife of $Z$.

2. From the above:

- Since $U$ is mother of $V$, and $V$ is father of $W$, $U$ is the grandmother (mother of father) of $W$.

- $W$ is brother of $Y$, so $Y$ is sibling of $W$.

- $Y$ is wife of $Z$, so $Z$ is husband of $Y$.

3. Therefore, $U$ is the mother of $V$ (father of $W$ and $Y$), making $U$ the grandmother of $Y$.

4. Since $Y$ is wife of $Z$, $U$ is the grandmother of $Y$, who is the wife of $Z$.

5. Hence, $U$ is the wife's father's mother (grandmother of wife).

**Answer:** Wife's Father's Mother

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