Respuesta :

Answer:

The number is 95.

Step-by-step explanation:

Solution,

Let the number be 'x'.

So, [tex]\frac{2}{5}[/tex] of 'x' = [tex]\frac{2}{5}x[/tex]

Now according to question, [tex]\frac{2}{5}x[/tex] is equal to 38.

So we can frame it as;

[tex]\frac{2}{5}x=38[/tex]

Now we solve it;

For solving it we will multiply both side by '5' using multiplication property and get;

[tex]\frac{2}{5}x\times5=38\times5\\\\2x=38\times5[/tex]

Now using division property, we will divide both side by '2' and get;

[tex]\frac{2x}{2}=\frac{38\times5}{2}\\\\x=19\times5=95[/tex]

Hence The number is 95.