Question

maths puzzles which is solwed for class 9

Answer 1

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