Respuesta :
Answer:
-27 and -33.
Step-by-step explanation:
If the number have 9:11 of ratio, this can be expressed like this: [tex]\frac{x}{y} =\frac{9}{11}[/tex]. Because a ratio represents a equivalence between two fractions.
The problem says that their difference is 6, which can be expressed like: [tex]x-y=6[/tex]
Where x and y are the unknown numbers.
So: [tex]x=6+y[/tex]; we replace this equation in the ratios one.
[tex]\frac{x}{y} =\frac{9}{11} \\\frac{6+y}{y} =\frac{9}{11} \\66+11y=9y\\66=9y-11y\\66=-2y\\\frac{66}{-2}=y\\ y= -33.[/tex]
To calculate the second number we use: [tex]x-y=6\\x=6+y\\x=6+(-33)\\x=6-33\\x=-27[/tex]
Hence, the two numbers that fit with the 9:11 ratio and their difference of 6 are -33 and -27.
