Integers are numbers without decimals
The integers could you have multiplied are 9 and 2
Let the numbers be x and y
So, we have:
[tex]\mathbf{x \times y}[/tex]
Increase x by 1 and reduce y by 1.
So, we have
[tex]\mathbf{(x +1) \times (y -1) = 6 + xy }[/tex]
Open brackets
[tex]\mathbf{xy -x + y - 1 = 6 + xy}[/tex]
Subtract xy from both sides
[tex]\mathbf{ -x + y - 1 = 6}[/tex]
Collect like terms
[tex]\mathbf{ -x + y = 6 + 1}[/tex]
[tex]\mathbf{ -x + y = 7}[/tex]
Rewrite as:
[tex]\mathbf{ y -x= 7}[/tex]
The above means that, the difference between the integers is 7.
There are several integers that fit the above description;
One possibility is: 9 and 2
Read more about products at:
https://brainly.com/question/3208278
