I live on a very short street, consisting of 14 small family houses. The odd-numbered houses are on one side of the street, and the even-numbered ones are on the other (e.g., 1 and 2 are opposite each other). On one side, families with surnames representing colors live, and on the other side, families with surnames representing occupations live.

Szabó and Fazekas live opposite Zöld and Fehér, respectively, who are both neighbors of Fekete.

Kovács's grandfather is Lakatos.

Lakatos lives in a house with a higher number than Barna. The sum of Lakatos's and Barna's house numbers is equal to the sum of Fehér's and Fazekas's house numbers. Kádárné's house number is twice that of her sister, Kalaposné.

Sárga lives opposite Pék.

If Bordóné's house number is two-digit and she lives opposite her sister, Kádárné, in which number does Mr. Szürke live?
For easier reference, we have labeled the conditions in the problem. Due to $D$, the Foglalkozásnevúek (Occupationists) live on the even side. Thus, Kádárék's house number, being twice the even house number of Kalaposék, is also divisible by four. According to $F$, this house number is two-digit, so it can only be 12, and therefore Kalaposék's house number is 6, and Bordóék's is 11.

Let's temporarily call the family living opposite the Feketéek (Blacks) the Mesteréek (Masters). Due to $A$, the Mesteréek's neighbors are the Szabó and Fazekas families, so the Mesteréek cannot live in houses 2, 4, 8, 10, or 14, as these either do not have two neighbors or are already occupied by known families. Therefore, the Mesteréek can only be the Kalaposék, and their house number is 6, making the Fekete family's house number 5.

According to $A$, the Fehér (White) and Fazekas families live opposite each other. Since they are neighbors of the Fekete and Kalapos families, they must live in either the 7-8 or 3-4 houses. Condition $C$ means that from the Fazekas to the Lakatos family, one must go up the street the same distance as from the Fehér to the Barna family going down. This makes the second case impossible, as then the Barna family would only be able to live in 1, and the Lakatos family in 6, but these are already occupied. Therefore, the Fehér-Fazekas pair's house numbers are 7-8, the Zöld (Green)-Szabó pair's are 3-4, the Barna family's is 1, and the Lakatos family's is 14. Thus, according to $E$, the only remaining houses for the Sárga (Yellow)-Pék (Baker) pair are 9-10, and Szürke (Gray) lives in 13.

Balogh László (Bp., Apáczai Csere J. Gyak. Gimn., I. o. t.)