Q: The variables x and y are in the ratio 5:11. If xy=495, what is the value of x and y?

A: They are in the ratio 5:11. This means that x=5n and y=11n. Plus xy=495. This means that: 5n11n=495.
5n11n=495 \\ 55n^2=495 \\ n^2=\frac{495}{55} \\\\ n=\sqrt{\frac{495}{55}} \\ n=3.
This means that the coefficient with which they were cancelled with is 3.
5\times3=15 \\ 11\times3=33.
Therefore, x=15 and y=33.

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