Answer:
The original number is -14.
Step-by-step explanation:
Given : If you double a number then add 24 you get \(\frac{2}{7}\) of the original number.
To find : What is the original number?
Solution :
Let the number be 'x'
According to question,
If you double a number then add 24 you get \(\frac{2}{7}\) of the original number.
i.e. \(2x+24=\frac{2}{7}x\)
\(2x-\frac{2}{7}x=-24\)
\(\frac{14-2}{7}x=-24\)
\(\frac{12}{7}x=-24\)
\(x=\frac{-24\times 7}{12}\)
\(x=-2\times 7\)
\(x=-14\)
Therefore, The original number is -14.
