Final answer:
To find the original number, we need to solve the equation (5x)/(x+7) = 2. After solving the equation, we find that the original number is 14/3 or approximately 4.67.
Step-by-step explanation:
To solve this problem, let's assume the original number is x.
According to the problem, 5 times the number is divided by 7 more than the number and the result is 2.
So, we can write the equation as (5x)/(x+7) = 2.
To find the original number, we need to solve this equation.
Now let's solve the equation.
Multiplying through by (x+7), we get 5x = 2(x+7).
Expanding the equation, we get 5x = 2x + 14.
Subtracting 2x from both sides, we get 3x = 14.
Dividing both sides by 3, we get x = 14/3.
Therefore, the original number is 14/3 or approximately 4.67.