Solution
If (6x + 5y) : (6x - 5y) = 11 : 5.
$$\frac{(6x+5y)}{(6x-5y)}=\frac{11}{5}$$
$$30x+25y=66x-55y$$$$55y+25y=66x-30x$$
$$80y=36x$$
$$20y=9x$$
$$\frac{20}{9}=\frac{x}{y}$$
So x : y = 20 : 9
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