**Ratio of Two Numbers**

Let's assume the two numbers in the ratio are x and y, respectively. According to the given information, the ratio of these two numbers is 7:10. This can be represented as:

x/y = 7/10

**Difference of the Numbers**

The difference between the two numbers is given as 105. Mathematically, we can express this as:

x - y = 105

**Solving the Equations**

To find the values of x and y, we can use the system of equations formed by the ratio and difference:

1. x/y = 7/10
2. x - y = 105

We can use the method of substitution to solve this system. Rearrange equation 1 to solve for x:

x = (7/10) * y

Now substitute this value of x in equation 2:

(7/10) * y - y = 105

**Simplifying the Equation**

To solve for y, we need to simplify the equation:

7y/10 - 10y/10 = 105
(7y - 10y)/10 = 105
-3y/10 = 105

Multiply both sides of the equation by 10 to get rid of the fraction:

-3y = 105 * 10
-3y = 1050

Divide both sides by -3 to solve for y:

y = 1050 / -3
y = -350

**Finding the Value of x**

Now that we have the value of y (-350), we can substitute it back into equation 1 to find the value of x:

x = (7/10) * (-350)
x = -2450 / 10
x = -245

**Conclusion**

The two numbers are x = -245 and y = -350. These numbers have a ratio of 7:10, and their difference is 105.

Suppose that, 1st no is 7x and 2nd no is 10x
then, according to question, 10x-7x=105, so, x=35
1st no=7x=7×35=245,,
2nd no=10x=10×35=350