Understanding the Coding Logic
The problem defines several coding operators representing family relationships:
- $A + B$ means A is the mother of B.
- $A – B$ means A is the brother of B.
- $A x B$ means A is the wife of B.
- $A % B$ means A is the father of B.
- $A # B$ means A is the daughter of B.
Decoding the Expression: L # N – C # V x E
We break down the given expression step-by-step:
- $L # N$: L is the daughter of N. (This establishes L is female).
- $N – C$: N is the brother of C. (This establishes N is male).
- $C # V$: C is the daughter of V. (This establishes C is female).
- $V x E$: V is the wife of E. (This establishes V is female and E is male. They are spouses).
Determining the Relationship between L and E
Combining the decoded relationships helps determine the final link:
- From $V x E$, E is the husband of V.
- From $C # V$, C is the daughter of V. As V and E are spouses, C is the daughter of both V and E.
- From $N – C$, N is the brother of C. Therefore, N must also be the son of V and E. (N is male).
- From $L # N$, L is the daughter of N.
- Since N is the son of E, L is the daughter of E's son.
- This means L is the granddaughter of E.
- The specific relationship asked is how L is related *to* E. From E's perspective, L is his son's daughter.
Therefore, L is the son’s daughter of E.