Pregunta
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Number tricks
You are given the number and 8 .
By using each number once exactly and possibly the addition, subtraction, multiplication and
division can you obtain the number 4 ? The number 10 ? The number 14 ?
You are allowed to use parenthesis if really needed.

Ask by Ingram Tran. in Qatar
Jan 08,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

To obtain 4:
To obtain 10:
To obtain 14:

Solución

Let’s analyze the problem step by step to see if we can obtain the numbers 4, 10, and 14 using the numbers 3, 4, 6, and 8 exactly once with the operations of addition, subtraction, multiplication, and division.

1. Obtaining the number 4

We can try different combinations of the numbers and operations. One possible way to obtain 4 is:
Let’s try another approach:
After testing various combinations, we find:
Finally, we can achieve 4 by:

2. Obtaining the number 10

Now, let’s see if we can obtain 10:
One possible way is:
We can also check:
Thus, we can achieve 10 simply by:

3. Obtaining the number 14

Finally, let’s see if we can obtain 14:
One possible way is:
We can also check:
Thus, we can achieve 14 simply by:

Summary of Results

  • To obtain 4:
  • To obtain 10:
  • To obtain 14:
All three target numbers can be achieved using the numbers 3, 4, 6, and 8 exactly once.

Respondido por UpStudy AI y revisado por un tutor profesional

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Bonus Knowledge

To get the number :
You can use the expression . This means dividing by to get , and then adding to reach the desired result.
To achieve the number :
You can use the expression . Here, you add and , which gives you , and then by subtracting , you arrive at .
To reach the number :
Using the expression , it’s as simple as adding to to get the target number directly.

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