Question 557163
Let the smallest number  = {{{ n }}}
the 4 numbers are:
{{{n}}}, {{{n + 1}}}, {{{n + 2}}}, and {{{n + 3}}}
given:
{{{ n + n + 1 + n + 2 + n + 3 = 26 }}}
{{{ 4n + 6 = 26 }}}
{{{ 4n = 20 }}}
{{{ n = 5 }}}
{{{ n + 1 = 6 }}}
{{{ n + 2 = 7 }}}
{{{ n + 3 = 8 }}}
The 4 numbers are 5,6,7, and 8
check:
{{{ 5 + 6 + 7 + 8 = 26 }}}
{{{ 26 = 26 }}}
OK