#### Answer

Number is 4

#### Work Step by Step

Let the number be $\Longrightarrow$ x
Thus 5 added to 4 times the number = 4(x) + 5 = 4x + 5
Given:
$\frac{4x + 5}{6}$ = $\frac{7}{2}$
Cross multiplying,
2(4x + 5) = 7(6)
8x + 10 = 42
8x + 10 - 10 = 42 - 10 ... (Subtracting 10 from both sides)
8x = 32
x = $\frac{32}{8}$
x = 4