ANSWER
[tex]15[/tex]EXPLANATION
Let the number be x.
If the number is doubled, it becomes:
[tex]2x[/tex]The number, double the number and 16 are added and the result is 61.
This implies that:
[tex]x+2x+16=61[/tex]Solve for x:
[tex]\begin{gathered} 3x+16=61 \\ 3x=61-16=45 \\ x=\frac{45}{3} \\ x=15 \end{gathered}[/tex]That is the number.