A number exceeds its four seventh by 18. What is the number ?

Options

A. 36
B. 49
C. 63
D. None of these

Answer

To solve the problem step by step, let's denote the unknown number as \( x \).

### Step 1: Set up the equation
According to the problem, the number \( x \) exceeds its four-sevenths by 18. We can express this relationship mathematically as:
\[ x = \frac{4}{7}x + 18 \]

### Step 2: Rearrange the equation
To isolate \( x \), we need to move \( \frac{4}{7}x \) to the left side of the equation:
\[ x - \frac{4}{7}x = 18 \]

### Step 3: Combine like terms
To combine the terms on the left side, we can express \( x \) as \( \frac{7}{7}x \):
\[ \frac{7}{7}x - \frac{4}{7}x = 18 \]
This simplifies to:
\[ \frac{3}{7}x = 18 \]

### Step 4: Solve for \( x \)
To solve for \( x \), we can multiply both sides of the equation by the reciprocal of \( \frac{3}{7} \), which is \( \frac{7}{3} \):
\[ x = 18 \times \frac{7}{3} \]

### Step 5: Calculate the value
Now we can perform the multiplication:
\[ x = 18 \times \frac{7}{3} = 6 \times 7 = 42 \]

### Conclusion
Thus, the number is:
\[ \boxed{42} \]