State the given in the question
Given that the sum of a number and 3 is subtracted from, the result is 5
State what is to be found in the question
We are to find the number. In other to achieve this, we would follow the steps below:
Step 1: Represent the number with an unknown
Let x represent the number
Step 2: Interpret the given statement mathematically
If x is the number, then the sum of the number and 3 would be
![x+3](https://img.qammunity.org/2023/formulas/mathematics/high-school/8qhja03oysgzd16fx7m4wbwfiri3d6nie2.png)
Then the sum of a number and 3 subtracted from 10 would be
![10-(x+3)](https://img.qammunity.org/2023/formulas/mathematics/college/8069s1dma8y6aynrhmh19t1wde1zdpyam3.png)
Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be
![10-(x+3)=5](https://img.qammunity.org/2023/formulas/mathematics/college/x0i9bk98h14y8n4e0bdcsbzoo7l0s9njau.png)
Step 3: Solve for x in the mathematical interpretation of the given statement
The value of x is as calculated as shown below:
![\begin{gathered} 10-(x+3)=5 \\ \text{Open the bracket or the parenthesis} \\ 10-x-3=5 \\ \text{collect like terms} \\ 10-3-5=x \\ 7-5=x \\ 2=x \\ \text{Therefore:} \\ x=2 \end{gathered}]()
Hence, the number is 5