Question 349612
The lenght and the width of a rectangle are in the ratio 3:2. If the lenght is increased by 20 and the width is decreased by 5, the ratio of the lenght to the width becomes 2:1. Find the lenght and width of this rectangle.

{{{L/W=3/2}}}
1.{{{2L=3W}}}
.
.
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{{{(L+20)/(W+5)=2/1}}}
{{{L+20=2(W+5)}}}
{{{L+20=2W+10}}}
{{{L=2W-10}}}
{{{2L=4W-20}}}
Substituting from eq. 1,
{{{3W=4W-20}}}
{{{-W=-20}}}
{{{highlight(W=20)}}}
Then from eq. 1,
{{{2L=60}}}
{{{highlight(L=30)}}}