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From the question, we've been told that product of 6 and a number, b, is 5 less than 7. This can be expressed mathematically as shown below;
[tex](6\ast b)-5=7[/tex]To find b, let's add 5 to both sides of the equation;
[tex]\begin{gathered} 6b-5+5=7+5 \\ 6b=12 \end{gathered}[/tex]Let's divide both sides of the equation by 6;
[tex]\begin{gathered} \frac{6b}{6}=\frac{12}{6} \\ b=2 \end{gathered}[/tex]Therefore, the unknown number, b, is 2.