Understanding the Problem
To find the number that meets the criteria of the problem, we need to set up an equation based on the information given.
Step 1: Define the Variable
- Let the unknown number be represented by "x".
Step 2: Translate the Problem Statement
- The fourth part of the number: x/4
- The sixth part of the number: x/6
- According to the problem, the fourth part exceeds the sixth part by 4.
Step 3: Formulate the Equation
- The equation based on the problem statement can be written as:
(x/4) - (x/6) = 4
Step 4: Solve the Equation
- To solve this equation, we need a common denominator for the fractions. The least common multiple of 4 and 6 is 12.
- Rewrite the fractions:
- x/4 = 3x/12
- x/6 = 2x/12
- Substitute back into the equation:
3x/12 - 2x/12 = 4
- Simplify the left side:
(3x - 2x)/12 = 4
- This simplifies to:
x/12 = 4
Step 5: Isolate x
- Multiply both sides by 12:
x = 4 * 12
- Therefore, x = 48.
Conclusion
- The number is 48.
This methodical approach ensures that the problem is clearly understood and solved step-by-step, leading to the correct answer.