Question 661485

let 4-digit number be {{{abcd}}} where {{{a=thousands}}}, {{{b=hundreds}}},{{{c=tents}}} and {{{d=oness}}}

The sum of my digits is {{{19}}}.....=>... {{{a+b+c+d=19}}}


My hundreds digit is {{{4}}} less than {{{7}}}....=>...hundreds digit is {{{3}}}...=>...{{{highlight(b=3)}}}


My thousands digit is the sum of {{{3}}} and {{{1}}}....=>...thousands digit is 

{{{4}}}...=>...{{{highlight(a=4)}}}


The other two digits are the same number...=>...{{{highlight(c=d)}}}


since given {{{a+b+c+d=19}}}, plug in {{{a=4}}},{{{b=3}}}, and {{{c=d}}}


{{{4+3+d+d=19}}},,solve for {{{d}}}

{{{7+2d=19}}}

{{{2d=19-7}}}


{{{2d=12}}}

{{{highlight(d=6)}}}...then.=>...{{{highlight(c=6)}}}



so, am I {{{highlight(4366)}}}