Question 261079
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Let 1st board = {{{X}}}
2nd board = {{{Y}}}, make this the  shorter piece


We know, {{{X+Y=22ft}}}, condt'n. 1


Also, {{{X=2Y+1ft}}},  condt'n. 2


Substitute condt'n. 2 in 1: {{{red(2Y+1)+Y=22}}}
{{{2Y+Y=22-1}}} ---> {{{3Y=21}}} ----> {{{cross(3)Y/cross(3)=cross(21)7/cross(3)}}}
{{{red(Y=7ft)}}}, length shorter piece.


In condt'n 2: {{{X=2(7ft)+1=14+1}}}
{{{red(X=15ft)}}}, longer piece


CHeck via dont'n 1: 
{{{15+7=22ft}}}
{{{22ft=22ft}}}


Thank you,
Jojo</font>