Let's assume that number is 'y'.
When we subtract a number from 11, we get 10% of that number.
(11-y) = y of 10%
$$(11-y)=y\times\frac{10}{100}$$
$$(11-y)=y\times\frac{1}{10}$$
(11-y)=0.1y
y+0.1y = 11
1.1y = 11
$$y=\frac{11}{1.1}$$
$$y=\frac{110}{11}$$
y = 10
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