Question 299880
Let's call the two length A and B.
1.{{{A+B=55}}}
2.{{{A/B=4/7}}}
From eq. 2,
{{{A/B=4/7}}}
{{{7A=4B}}}
Substitute into eq. 1,
{{{A+B=55}}}
{{{7A+7B=385}}}
{{{4B+7B=385}}}
{{{11B=385}}}
{{{highlight_green(B=35)}}}
Then from eq. 1,
{{{A+35=55}}}
{{{highlight_green(A=20)}}}