In a certain code language, 'A + B' means 'A is the son of B', 'A - B' means…

Concept

In a coded blood-relation puzzle, each symbol is a fixed code for one direct family relation, and the chain is always read as ‘the person before the symbol is that relation of the person after it.’ A multi-symbol chain therefore encodes a small family tree link by link; decoding every link in order — and noting the gender each relation word fixes — lets the relationship between the two end-people be read straight off that tree.

Key: + = son of, − = brother of, × = wife of, ÷ = father of. Read strictly left to right, one symbol at a time, without skipping or merging any two people into one.

Step-by-step decoding

1. Decode D + F: D is the son of F, so F is D's parent and D is male.

2. Decode F ÷ G: F is the father of G, so F is also G's parent.

3. Since F is the parent of both D and G, D and G are siblings; as D is a son, D is G's brother.

4. Decode G × H: G is the wife of H, so H is G's husband.

5. Decode H − J: H is the brother of J, so H and J are siblings.

6. Combine, starting from J: J's brother is H; H's wife is G; G's brother is D.

Cross-check

Every relation word used is gender-consistent: D, F and H are all fixed male (son, father, brother, husband — matching G being called a wife), and G is fixed female (wife, and F's child alongside D). No person is used twice with conflicting genders, so the chain decodes without contradiction, confirming D is J's Brother's wife's brother.