Question 663178

let {{{x}}} be the unit digit and {{{y}}} the tens digit

given:

The sum of the digits is {{{11}}}: {{{y+x=11}}}.......1

The tens digit in a two digit number is {{{2}}} more than twice the units digit.

 {{{y=2x+2}}}........2
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{{{y+x=11}}}........substitute {{{y}}} from 2

{{{2x+2+x=11}}}

{{{3x=11-2}}}

{{{3x=9}}}

{{{highlight(x=3)}}}.........the ones digit


{{{y=2x+2}}}........2

{{{y=2*3+2}}}

{{{highlight(y=8)}}}..........the tens digit

your number: {{{83}}}