Answer
The first number is $7$ and the second number is $11.$
Work Step by Step
Let $x$ be the second number. Then the first number is $x-4.$ The second sentence of the problem translates to
\begin{array}{l}\require{cancel}
4(x-4)=2x+6
.\end{array}
Using the Distributive Property and the properties of equality, the equation above is equivalent to
\begin{array}{l}\require{cancel}
4(x)+4(-4)=2x+6
\\
4x-16=2x+6
\\
4x-2x=6+16
\\
2x=22
\\
x=\dfrac{22}{2}
\\
x=11
.\end{array}
Hence, the first number is $x-4,$ equal to $7$ and the second number is $x,$ equal to $11.$
