Crane and Turtle Problem Solver

The Crane and Turtle problem (Tsurukame-zan) is a classic Japanese arithmetic puzzle rooted in traditional math education. Given that cranes have 2 legs and turtles have 4 legs, the task is to determine how many of each there are when you know the total number of heads and legs. This tool not only computes the answer instantly but also displays step-by-step solution explanations in both Japanese and English for educational purposes.

【Mathematical Foundation】The solution uses the method of assumption (仮定法). If we assume all animals are cranes, the total legs would be heads × 2. By comparing this with the actual number of legs, we can calculate the difference. Dividing this difference by 2 (the leg difference per animal) gives us the number of turtles. The number of cranes is then obtained by subtracting turtles from the total heads.

【Key Features】The tool handles edge cases properly, such as odd number of legs or impossible combinations, and clearly indicates when no valid solution exists. Ideal for elementary students, entrance exam preparation, and programming education. All processing happens entirely within your browser, ensuring complete privacy and instant results.