Question 889435
Let "M" be the age of the man
"S" be the age of the son

{{{M=5S}}}
{{{(M-4)(S-4) = 52}}}
{{{MS -4M - 4S + 16 = 52}}}
{{{5S(S) - 4(5S) - 4S = 36}}}
{{{5S^2 - 24S - 36 = 0 }}}
{{{(5S + 6)(S - 6)=0}}}

The possible values would be
A.){{{5S + 6 = 0}}}
   {{{5S = -6 }}}
   {{{S = (-6/5)}}}

B.){{{S - 6 = 0}}}
{{{ S = 6 }}}

Since age cannot be negative, the son's only possible age would be 6.

Substitute {{{M = 5(6)}}}
{{{M = 30}}}

Therefore, the man's age is 30 years old and the son's age is 6.