Step 1
Write the required equation from the word problem.
Let the number be x
[tex]\frac{1}{3}x=1+\frac{1}{4}x[/tex]Step 2
Find the value of x
[tex]\begin{gathered} Multiply\text{ all terms by the LCM. LCM=12} \\ \frac{1}{3}x(12)=1(12)+\frac{1}{4}x(12) \end{gathered}[/tex][tex]\begin{gathered} 4x=12+3x \\ x=12 \end{gathered}[/tex]Answer;
[tex]The\text{ number is 12}[/tex]