Question

The difference between two positive integers is 8. If the smaller is added to the square of the larger, the sum is 102. What are the two integers?

Answer 1

To find the two integers, we need to solve a system of equations based on the information provided: y - x = 8 and x + y^2 = 102.

Step-by-step explanation:

To find the two integers, let's assume that the smaller integer is x and the larger integer is y.

From the given information, we know that the difference between two positive integers is 8. So, we can write the equation y - x = 8.

It is also mentioned that if the smaller integer (x) is added to the square of the larger integer (y), the sum is 102. So, we can write the equation x + y^2 = 102.

Now we have a system of equations:

1. y - x = 8
2. x + y^2 = 102

Solving these equations simultaneously, we can find the values of x and y.