Final answer:
To solve the equation, we can create a model based on the given information. We can then solve the equation step by step to find the value of the number.
Step-by-step explanation:
To solve the problem, we can create a model based on the given information. Let's assume the number is represented by 'x'. According to the problem, we have the equation:
(5/6)x - 3 = (5/8)x + 7
Now, we can solve the equation step by step. First, let's eliminate the fractions by multiplying every term by the least common multiple of 6 and 8, which is 24:
24(5/6)x - 24(3) = 24(5/8)x + 24(7)
After simplifying, we get:
20x - 72 = 15x + 168
Next, we can simplify further by moving all the terms with 'x' to one side and the constant terms to the other side:
20x - 15x = 168 + 72
Simplifying this equation gives us:
5x = 240
Finally, we can solve for 'x' by dividing both sides of the equation by 5:
x = 48
Therefore, the number is 48.