Nice two numbers

What two numbers we give a sum of 30 difference of 24 products of 81 and a quotient of 9?

Correct answer:

a =  27
b =  3

Step-by-step explanation:

$$\begin{gathered} a+b=30 \\ a-b=24 \\ a+b=30 \\ a-b=24 \\ a=27 \\ b=3 \\ \text{ Verifying Solution: } \\ p=a\cdot b=27\cdot 3=81 \\ q=a\mathrm{/}b=27\mathrm{/}3=9 \end{gathered}$$

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