The problem states that the difference between two numbers is 9256. Also, when one number is divided by the other, the quotient is 27. The goal is to find the two numbers.

1. Problem Description

The problem states that the difference between two numbers is

9

2

5

6. Also, when one number is divided by the other, the quotient is

2

7. The goal is to find the two numbers.

2. Solution Steps

Let the two numbers be $x$ and $y$, where $x > y$. From the problem, we have two equations:

$x - y = 9256$ (1)

$\frac{x}{y} = 27$ (2)

From equation (2), we can write $x$ in terms of $y$:

$x = 27y$ (3)

Now, substitute equation (3) into equation (1):

$27y - y = 9256$

$26y = 9256$

Divide both sides by 26:

$y = \frac{9256}{26} = 356$

Now that we have the value of $y$, we can find the value of $x$ using equation (3):

$x = 27y = 27 \times 356 = 9612$

So the two numbers are $x = 9612$ and $y = 356$.

3. Final Answer

The two numbers are 9612 and 356.