(A) The sum of two numbers is 15 . If the sum of their reciprocals is $\frac{3}{10}$, find the two numbers.
OR
(B) If $\mathit{\alpha }$ and $\mathit{\beta }$ are roots of the quadratic equation ${\mathit{x}}^2-7\mathit{x}+10=0$, find the quadratic equation whose roots are ${\mathit{\alpha }}^2$ and ${\mathit{\beta }}^2$.