数字组合24

बनाया गया: 13 जनवरी 2025

का उपयोग करके उत्तर दिया गया O1 द्वारा Chat01

प्रश्न

2,7,7,10 四个数字可以用数学运算,怎么组合最终结果是24?

विचार

Combining numbers

I'm piecing together 2, 7, 7, and 10 using operations like addition, subtraction, multiplication, and division to see if they can yield 24.

Testing various methods

I’m trying out different combinations like 7×2=147 \times 2 = 14, adding 7 to 10, and exploring divisions. However, these solutions haven’t yet reached the target of 24.

Evaluating options

I’m working through combinations like 72=57 - 2 = 5, 7×(107)=217 \times (10 - 7) = 21, and examining factorials. None so far have reached the target of 24.

Testing combinations

I’m trying various combinations like 10+1×2=2210 + 1 \times 2 = 22 and 7/77/7. None have reached the target of 24 yet.

Testing combinations

I’m working through various combinations, such as 7×(2+(10/7))7 \times (2 + (10/7)). After some exploration, I found a viable solution that reached the target of 24.

Validating the solution

I’m confirming that 7×(2+(10/7))7 \times (2 + (10/7)) leverages both 7s, 10, and 2 to reach 24, ensuring it uses all the required numbers efficiently.

Thought about 24点游戏组合,持续 1m 2s

उत्तर

一种可行的解法是:

7×(2+107)=247 \times \bigl(2 + \frac{10}{7}\bigr) = 24

拆开来看:

  1. 分母的 7 和乘号前的 7 是两个不同的 7(题目给了两个 7)。
  2. 107\frac{10}{7} 等于 1+371 + \frac{3}{7},所以括号里是 2+137=337=2472 + 1\frac{3}{7} = 3\frac{3}{7} = \frac{24}{7}
  3. 最后用外面的 7 去乘以 247\frac{24}{7},结果正好是 24。

这样就用到 2、7、7、10 四个数字,并通过基本四则运算得到 24。

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