Let the lesser integer be "x".
So, the greater integer will be "x + 8".
Given,
Product of lesser and "-5" is 28 MORE THAN greater.
We can write the equation as:
[tex]x\times-5=(x+8)+28[/tex]We can simplify this equation and solve for x. The steps are shown below:
[tex]\begin{gathered} x\times-5=(x+8)+28 \\ -5x=x+36 \\ -5x-x=36 \\ -6x=36 \\ x=\frac{36}{-6} \\ x=-6 \end{gathered}[/tex]Less integer (x) is -6, and
Greater integer (x+8) is -6 + 8 = 2
Answer
-6 and 2
