Question 571110
call the integers {{{n}}}, {{{n+1}}}, and {{{n+2}}}
given:
{{{ n + n + 1 + n + 2 = 165 }}}
{{{ 3n + 3 = 165 }}}
{{{ 3n = 162 }}}
{{{ n = 54 }}}
{{{ n + 1 = 55 }}}
{{{ n + 2 = 56 }}}
The numbers are 54, 55, and 56
check:
{{{ n + n + 1 + n + 2 = 165 }}}
{{{ 54 + 55 + 56 = 165 }}}
{{{ 165 = 165 }}}
OK