document.write( "Question 949678: 1. the perimeter of a rectangle is 400cm. The length is 40cm longer than the width. find the length and width.\r
\n" ); document.write( "\n" ); document.write( "2. Jack is twice as old as lacy. In three years the sum of their ages will be 63. How old are they now?\r
\n" ); document.write( "\n" ); document.write( "3. The price of a swimming pool has been discounted 15%, the sale is 1000. find the original list price of the pol.\r
\n" ); document.write( "\n" ); document.write( "4. The product of two consecutive odd number is 14 more than the square of the smaller number, find the two numbers.
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Algebra.Com's Answer #579825 by macston(5194)\"\" \"About 
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PROBLEM 1:
\n" ); document.write( "W=width; L=length=W+40cm; P=perimeter=2(L+W)=400cm
\n" ); document.write( "400cm=2(L+W) Divide each side by 2.
\n" ); document.write( "200cm=L+W Substitute for L
\n" ); document.write( "200cm=(W+40cm)+W Subtract 40cm from each side.
\n" ); document.write( "160cm=2W Divide each side by 2.
\n" ); document.write( "80cm=W ANSWER 1: The width is 80 cm.
\n" ); document.write( "L=w+40cm=80cm+40cm=120cm ANSWER 2: The length is 120 cm.
\n" ); document.write( "CHECK:
\n" ); document.write( "P=2(L+W)
\n" ); document.write( "400cm=2(120cm + 80cm)
\n" ); document.write( "400cm=2(200 cm)
\n" ); document.write( "400cm=400cm\r
\n" ); document.write( "\n" ); document.write( "PROBLEM 2:
\n" ); document.write( "L=Lacy's age; J=Jack's age=2L
\n" ); document.write( "If in 3 years the sum of their age will be 63, currently the sum is 57 (63-3years aging for each)
\n" ); document.write( "J+L=57 years Substitute for J
\n" ); document.write( "2L+L=57 years
\n" ); document.write( "3L=57 years Divide each side by 3.
\n" ); document.write( "L=19 years ANSWER 1: Lacy is 19 years old.
\n" ); document.write( "J=2L=2(19 yrs)=38yrs ANSWER 2: Jack is 38 years old.
\n" ); document.write( "CHECK:
\n" ); document.write( "(J+3 years)+(L+3 years)=63 years
\n" ); document.write( "38 yrs+3 yrs+19 yrs+3 yrs=63 yrs
\n" ); document.write( "63 yrs=63 yrs\r
\n" ); document.write( "\n" ); document.write( "PROBLEM 3:
\n" ); document.write( "The pool is 85% of original price (100%-15%) so
\n" ); document.write( "$1000/0.85=$1176.47 ANSWER: The original price was $1176.47.\r
\n" ); document.write( "\n" ); document.write( "PROBLEM 4:
\n" ); document.write( "S=smaller number; S+2=larger number
\n" ); document.write( "\"%28S%29%28S%2B2%29=S%5E2%2B14\"
\n" ); document.write( "\"S%5E2%2B2S=S%5E2%2B14\" Subtract S^2 from each side.
\n" ); document.write( "2S=14 Divide each side by 2.
\n" ); document.write( "S=7 ANSWER 1: The smaller number is 7.
\n" ); document.write( "S+2=9 ANSWER 2: The larger number is 9.
\n" ); document.write( "CHECK
\n" ); document.write( "Product of the two is 14 more than square of the smaller
\n" ); document.write( "(7)(9)=(7)(7)+14
\n" ); document.write( "63=49+14
\n" ); document.write( "63=63\r
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