Question 952145

{{{Japan +Australia+Sweden=37}}}

let  the number of weeks in Australia be  {{{x}}}

if they stay in Japan for {{{4}}} more weeks than they will be in Australia, then Japan will be {{{Japan=x+4}}}
if their stay in Sweden will be {{{3}}} weeks {{{shorter}}} than that in Australia, then their stay in Sweden will be {{{Sweden =x-3}}}

plug it in {{{Japan +Australia+Sweden=37}}}

{{{(x+4)+x+(x-3)=37}}}..........solve for {{{x}}}

{{{x+4+x+x-3=37}}}

{{{3x+1=37}}}

{{{3x=37-1}}}

{{{3x=36}}}

{{{x=36/3}}}

{{{highlight(x=12)}}}

{{{highlight(Australia =12)}}}->the number of weeks in Australia 

{{{Japan=x+4}}}
{{{Japan=12+4}}}
{{{highlight(Japan=16)}}}->the number of weeks in Japan 

{{{Sweden =x-3}}}
{{{Sweden =12-3}}}
{{{highlight(Sweden =9)}}}->the number of weeks in Sweden