Answer:
The number is 9.
Solution:
Let the number be x.
In the question it is given that when 15 is reduced from one-third of a number the result is 12. Since we have assumed the number to be x, therefore one - third of a number is given by 1/3x.
Using the below equation we will try to find the value of x.
![15-(1)/(3) x = 12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mr0i7rb9my675vbn9j2pspi6dc1ni8wsb9.png)
Grouping the terms,
![15-12=(1)/(3) x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jdzdfu71w3svyu3adk68334g8k7hrl5mfj.png)
![3=(1)/(3)x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bnzuitly3dt1b12k4gnguebknu2cck4297.png)
Therefore,
![3*3=x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i08z90mt1ve6b90m0o6d70u52x1vcfabz0.png)
x=9
Thus, the number is 9.