Two numbers are \(P=2^6\times3^x\times5^2\) and \(R=2^y\times3^3\times5^2\).
Their \(\text{LCM}\) is \(2^6\times3^5\times5^2\) and
\(\text{HCF}\) is \(2^2\times3^3\times5^2\).
(i) Find the values of \(x\) and \(y\).
(i) Find the values of \(x\) and \(y\).
\(x =\) and \(y=\)
(ii) Write both numbers \(P\) and \(R\) in numerical form, and verify that
\(\mathrm{HCF}\times\mathrm{LCM}=P\times R\).
\(\mathrm{HCF}\times\mathrm{LCM}=\) \(\times\)
\(P\times R=\) \(\times\) .
\(\mathrm{HCF}\times\mathrm{LCM}\)\(P\times R\).