Answer:
24 and 33 are the numbers among which 24 is the smallest.
Step-by-step explanation:
Let one positive integer be x, then another will be x - 9
Solve:
[tex]\sf \dfrac{x-9 }{x} = \dfrac{8}{11}[/tex]
cross multiply
[tex]\sf 11x-99= 8x[/tex]
collect like terms
[tex]\sf 11x-8x = 99[/tex]
simplify
[tex]\sf 3x = 99[/tex]
divide both sides by 3
[tex]\sf x = 33[/tex]
As the integer is positive, x = 33, then another will be 33 - 9 = 24.
