Respuesta :

Let June's age be
[tex]x \: years[/tex]

Then his father is
[tex]6x \: years[/tex]

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