document.write( "Question 955723: 1.bill is 3 times as old as his kid brother jack.four years ago,he was 4years less than 5times jack's age at that time.How old are they?\r
\n" ); document.write( "\n" ); document.write( "2.the length of a rectangle is three times its width.if the length is decreassed by 20ft and the width increassed by 10ft the are is increassed by 200 find the dimension of the rectangle.\r
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Algebra.Com's Answer #583956 by ankor@dixie-net.com(22740)\"\" \"About 
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1.
\n" ); document.write( "let b = Bill's age
\n" ); document.write( "let j = Jack's age
\n" ); document.write( ":
\n" ); document.write( "write an equation for each statement
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\n" ); document.write( "bill is 3 times as old as his kid brother jack.
\n" ); document.write( "b = 3j
\n" ); document.write( "four years ago, he was 4 years less than 5 times jack's age at that time.
\n" ); document.write( "b - 4 = 5(j-4) - 4
\n" ); document.write( "b - 4 = 5j - 20 - 4
\n" ); document.write( "b = 5j - 20 - 4 + 4
\n" ); document.write( "b = 5j - 20
\n" ); document.write( "replace b with 3j, from the 1st statement
\n" ); document.write( "3j = 5j - 20
\n" ); document.write( "20 = 5j - 3j
\n" ); document.write( "20 = 2j
\n" ); document.write( "j = 10 yrs is Jack's age
\n" ); document.write( "then
\n" ); document.write( "3(10) = 30 yrs is Bill's age
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\n" ); document.write( "2.the length of a rectangle is three times its width.
\n" ); document.write( "L = 3W
\n" ); document.write( "A = L*W
\n" ); document.write( "if the length is decreased by 20ft and the width increased by 10ft the area is increased by 200.
\n" ); document.write( "(L-20) * (W+10) = LW + 200
\n" ); document.write( "FOIL
\n" ); document.write( "LW + 10L - 20W - 200 = LW + 200
\n" ); document.write( "LW - LW + 10L - 20W = 200 + 200
\n" ); document.write( "10L - 20W = 400
\n" ); document.write( "simplify, divide by 10
\n" ); document.write( "L - 2W = 40
\n" ); document.write( "Replace L with 3W, from the 1st statement
\n" ); document.write( "3W - 2W = 40
\n" ); document.write( "W = 40 ft is the original width
\n" ); document.write( "then
\n" ); document.write( "3(40) = 120 ft is original length\r
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