Answer:
Number is [tex]1\frac{11}{12}[/tex].
Step-by-step explanation:
Let the number is a,
[tex]1\frac{3}{4}[/tex] was added to this number, addition will result in,
(a + [tex]1\frac{3}{4}[/tex]) = a + [tex]\frac{7}{4}[/tex]
Then the result was multiplied by [tex]2\frac{2}{11}[/tex] to give the result as 8.
[tex](a+\frac{7}{4})\time (2\frac{2}{11})=8[/tex]
[tex](a+\frac{7}{4})\time (\frac{24}{11})=8[/tex]
a + [tex]\frac{7}{4}[/tex] = [tex]8\times \frac{11}{24}[/tex]
[tex]a+\frac{7}{4}=\frac{11}{3}[/tex]
a = [tex]\frac{11}{3}- \frac{7}{4}[/tex]
a = [tex]\frac{44-21}{12}[/tex]
a = [tex]\frac{23}{12}[/tex]
a = [tex]1\frac{11}{12}[/tex]
Therefore, the given number is [tex]1\frac{11}{12}[/tex].
