One integer is 3 more than 5 times another. the product is 54, what are the two integers?

The two integers are 18 and 3.

Step-by-step explanation:

Consider the provided information.

It is given that One integer is 3 more than 5 times another.

Let us consider the integer is x.

Then 3 more than 5 times of x is:

The product of the provided two numbers is 54. i.e.

Use the formula of the quadratic equation:

For the equation the solutions are:

By comparing the obtained equation with the above equation, it can be concluded that a = 5, b = 3 and c = -54. Substitute the these values in the above formula.

or

or

or

As we have given that numbers are integer, therefore ignore

Thus, the value of x is 3 or one number is 3.

Then 3 more than 5 times of x is: 3 + 5(3) = 18.

Therefore, the two integers are 18 and 3.