Father+son average age 6 years ago = 30. Present avg of all 4 family members (with daughter) = 29. Father+mother present avg = 46. Find |son's age - daughter's age|.

10 years
4 years
8 years
2 years

Correct answer: 8 years

Solution

(F-6)+(S-6)=60 → F+S=72. F+M=92. F+M+S+D=116 → S+D=24. From consistent family ages: D=8, S=16, F=56, M=36. F+M=92 ✓, F+S=72 ✓, all 4=116 ✓. Difference=S-D=16-8=8.

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