The required expression is [tex]\frac{x-38}{2}[/tex]
Let the unknown number be x
Half of the number is expressed as [tex]\frac{x}{2}[/tex]
If the second number is 19
Take the difference between the numbers
Difference = [tex]\frac{x}{2} - 19[/tex]
Find the LCM
[tex]=\frac{x}{2} - 19\\=\frac{x-2(19)}{2} \\=\frac{x-38}{2}[/tex]
hence the required expression is [tex]\frac{x-38}{2}[/tex]
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