Question 66

If (6x + 5y) : (6x - 5y) = 11 : 5 then what is x : y?

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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