Decoding Family Relations

This question requires decoding a specific coding language used for family relationships. We must analyze the expression 'D + F ÷ G - H x J' to find the relationship between D and J.

Code Definitions

• A + B means 'A is the daughter of B'.
• A $-$ B means 'A is the brother of B'.
• A x B means 'A is the wife of B'.
• A $\div$ B means 'A is the father of B'.

Expression Breakdown

We decode the given expression step-by-step:

• $D + F$: D is the daughter of F. (This implies D is female).
• $F \div G$: F is the father of G. (This implies F is male).
• $G - H$: G is the brother of H. (This implies G is male).
• $H \times J$: H is the wife of J. (This implies H is female).

Building the Family Tree

Combining the decoded relationships helps construct the family structure:

• From $F \div G$ (F is father of G) and $G - H$ (G is brother of H), we deduce that F is also the father of H.
• Since D is the daughter of F ($D + F$) and F is the father of H, D and H are siblings.
• We know H is the wife of J ($H \times J$), so H must be female.
• As D is the daughter of F ($D + F$) and H is also F's child (and female), D and H are sisters.
• Therefore, D is the sister of H.
• Given that H is the wife of J, D is the sister of J's wife.

Final Relation

The relationship 'sister of J's wife' is commonly referred to as 'Wife's sister'.