Question

June father is six times as old as June the sum of their age is no less than 77 what is the youngest age June can be

Answer 1

Let June's age be
$x \: years$

Then his father is
$6x \: years$

The sum of their ages is no less than 77 means,
$x + 6x \geqslant 77$
$7x \geqslant 77$
$x \geqslant 11$
The youngest age June can be is 11