Number increase

The unknown number was first increased by 17%, and the result was the number A. The second time, the teacher reduced the original number by 8%, resulting in number B. The difference between the numbers A and B is 50. Determine the unknown number.

Final Answer:

x =  -555.5556

Step-by-step explanation:

$$\begin{gathered} r_1=100\%-17\%=1-\frac{17}{100}=0.83 \\ {r}_2=100\%-8\%=1-\frac{8}{100}=0.92 \\ {r}_1\cdot x=A \\ {r}_2\cdot x=B \\ A-B=50 \\ {r}_1\cdot x-r_2\cdot x=50 \\ x=\frac{50}{r_1-r_2}=\frac{50}{0.83-0.92}=-555.5556 \end{gathered}$$

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