If the mathematical operations are defined as follows:
* '$A\ast B$ ' means '$A+B\times 2$ '
* '$A\#B$ ' means '$A-B÷3$ '
* 'A \ B${}^{\prime }mean{s}^{\prime }$ A \times B + 1${}^{\prime }Whatisthevalueof$ (24 \# (14 * 5)) \$9$?

Let's solve the expression step-by-step according to BODMAS and the given definitions:
Step 1: Evaluate the innermost bracket $(14\ast 5)$

$$14\ast 5=14+5\times 2=14+10=24$$

Step 2: Substitute this value back into the expression to evaluate $(24\#24)$

$$24\#24=24-24÷3=24-8=16$$

Step 3: Evaluate the final operation 16 \ 9$

$$16\$9=16\times 9+1=144+1=145$$

Hence, the final value is $145$.