Answer:
The difference between 19 and 8 is 11.
Explanation:
Given:
The difference between a number and 8 is 11
Find the number.
Solution:
Let the unknown number be
![=x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ox57d3e0vgp7cz4sh5elbqlxnv6wt9d20x.png)
The difference between the unknown number can be written as:
![x-8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l1vpew575cxunwo7ljl5y3psbtgfy3vhf1.png)
We are given that the difference =11
So we can write the equation to find
as :
![x-8=11](https://img.qammunity.org/2020/formulas/mathematics/high-school/9omq62ot7nqibldsab08nekuawagi5n2rn.png)
Using additive property to solve for
![x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k3ozza40nv61jy1offmxaxutrb6y1c3ly5.png)
Adding 8 to both sides to isolate
on one side.
![x-8+8=11+8](https://img.qammunity.org/2020/formulas/mathematics/high-school/6a17n12uxvwd8mw9dpk53nev29s11r541r.png)
∴
![x=19](https://img.qammunity.org/2020/formulas/mathematics/middle-school/upmh3bec9mfxyxlt217xr9em90icvq61fp.png)
∴ The unknown number = 19