Two numbers are \(F=2^5\times3^x\times5^2\) and \(G=2^y\times3^2\times5^3\).
Their \(\text{LCM}\) is \(2^5\times3^4\times5^3\) and
\(\text{HCF}\) is \(2^3\times3^2\times5^5\).
(i) Find the values of \(x\) and \(y\).
(i) Find the values of \(x\) and \(y\).
\(x =\) and \(y=\)
(ii) Write both numbers \(F\) and \(G\) in numerical form, and verify that
\(\mathrm{HCF}\times\mathrm{LCM}=F\times G\).
\(\mathrm{HCF}\times\mathrm{LCM}=\) \(\times\)
\(F\times G=\) \(\times\) .
\(\mathrm{HCF}\times\mathrm{LCM}\)\(F\times G\).