Answer:
The number is 4.5.
Step-by-step explanation:
Let's use the variable n.
[tex]\frac{n+4}{3} = \frac{n+13}{5}[/tex]
Multiply so they have common denominators.
[tex]\frac{5n+20}{15} =\frac{3n+39}{15}[/tex]
Now we can multiply each side by 15 and solve.
[tex]5n+20=3n+39[/tex]
Isolate the variable.
[tex]2n=19[/tex]
Divide by the coefficient.
[tex]n=9.5[/tex]
Now we can plug it in to check.
[tex]9.5 + 4 = 13.5[/tex]
[tex]\frac{13.5}{3} =4.5[/tex]
[tex]9.5+13=22.5[/tex]
[tex]\frac{22.5}{5} =4.5[/tex]
So the number is 4.5
