Final answer:
To find the value of the rational number, set up an equation using the representation of the integer as 10 times the difference of the rational number and 5. Solve the equation to find the value of the rational number, which is 17.4.
Step-by-step explanation:
To find the value of the rational number, we can use the given equation: An Integer = 10 times the difference of the rational number and 5.
Let's denote the rational number as x. According to the equation, the integer can be represented as 10(x - 5).
Since the value of the integer is 124, we can set up the equation: 10(x - 5) = 124.
Solving for x, we can divide both sides of the equation by 10 to isolate x: x - 5 = 12.4.
Finally, add 5 to both sides to find the value of x: x = 17.4.
Therefore, the value of the rational number is 17.4.