24 GAME
24 game, beat the clock.
Four cards are dealt; use + − × ÷ and parentheses to reach 24, with a one-click solver for practice.
6
12
10
13
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Solution animation · how to reach 24
6 × 12 = 72
What is this?
Four cards (1–13, like playing cards) are dealt. Use the four operations and parentheses so the result equals 24, using every card exactly once. Click “Check” to verify or “Solve” for a solution.
示例与注意事项Example & notes
一个例子A worked example
抽到 3、3、8、8：解法是 8 ÷ (3 − 8 ÷ 3) = 24，页面会列出表达式并逐步校验每一步。Draw 3, 3, 8, 8: the solution is 8 ÷ (3 − 8 ÷ 3) = 24, with the expression and each step verified.
注意事项Things to watch
- 并非所有四数组合都有解，无解时页面会明确说明，不用死磕。Not every four-number set has a solution; the page says so plainly instead of leaving you guessing.
- 允许分数中间结果是关键，很多难题必须走分数这一步。Allowing fractional intermediate results is essential — many hard hands need them.
- 同一组数常有多种解法，先找乘除再配加减通常更快。Most hands have several solutions; look for multiplication and division before adding and subtracting.
相关问答More Q&A
怎么保证题目有解？How do you guarantee solvability?
出题时先生成表达式再反推数字，因此可标注该组数是否有解。Questions are generated from an expression backwards, so solvability is known in advance.
能给提示吗？Are there hints?
可以给第一步提示（例如"先做除法"），但不直接给完整答案。It hints at the first move — for example "start with division" — without revealing the answer.