ANSWER
The number is 18.
Step-by-step explanation
Let the number be x.
When this number is divided by 3, we obtain the quotient,
![(x)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h8iro1cwpbavyhti4njsfhn1urx3ivax5r.png)
When 5 is subtracted from this quotient, we get,
![(x)/(3) - 5](https://img.qammunity.org/2020/formulas/mathematics/high-school/9s6d51pmrzuzql8bsedjvzhh8szx2uw886.png)
If the result is 1, then we have;
![(x)/(3) - 5 = 1](https://img.qammunity.org/2020/formulas/mathematics/high-school/of8v4ecs6toybcd9v0pv0e85f593mi5jqj.png)
We group similar terms to get,
![(x)/(3) = 1 + 5](https://img.qammunity.org/2020/formulas/mathematics/high-school/t270oi0qhla155mbo14pgos7dvdku7ue3r.png)
This gives us,
![(x)/(3) = 6](https://img.qammunity.org/2020/formulas/mathematics/high-school/nlzaauzv8rjh1jd8d8iho3jvn227oiix59.png)
Multiply both sides by 3.
![x = 6 * 3](https://img.qammunity.org/2020/formulas/mathematics/high-school/tlvf68l1whlgvue8bwcwysfj4e6z0w2gx9.png)
![x = 18](https://img.qammunity.org/2020/formulas/mathematics/high-school/d2v3d290zdtuch2oo4rf2l8k9pyrs1ebqc.png)
Therefore the number is 18.