SOLUTION: Sheet metal trades: The length of a piece of sheet metal is twice the width. The difference in length and width is 20 in. What are the dimensions?

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Question 115262: Sheet metal trades:
The length of a piece of sheet metal is twice the width. The difference in length and width is 20 in. What are the dimensions?
Answer by MathLover1(20850) About Me  (Show Source):
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The length a of a piece of sheet metal is twice the width b; then, a+=+2b
The difference in length and width is 20+in:
a-b+=+20in
the dimensions are:
a+=+2b ………………………………………………………….(1)
a-b+=+20in………………………………………………………(2)….solve this linear system by substitution
Substitute (1) in (2)
2b+-b+=+20in
b+=+20in………...................the width is 20in
now find the length a
a+=+2b
a+=+2%2A20in
a+=+40in..............the length is 40in