document.write( "Question 164506: 1)Samantha is 8 and two-third years older than Jason.The sum of their age is 23 years.How old are Samantha and Jason?
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Algebra.Com's Answer #121234 by ankor@dixie-net.com(22740)\"\" \"About 
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1)Samantha is 8 and two-third years older than Jason.
\n" ); document.write( "The sum of their age is 23 years.
\n" ); document.write( "How old are Samantha and Jason?
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\n" ); document.write( "Let s = Samantha's age now
\n" ); document.write( "Let j = Jason's age now
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"Samantha is 8 and two-third years older than Jason.\"
\n" ); document.write( "s = j + 8\"2%2F3\"
\n" ); document.write( "Convert to an improper fraction
\n" ); document.write( "s = j + \"26%2F3\"
\n" ); document.write( "get rid of the denominator, multiply equation by 3
\n" ); document.write( "3s = 3j + 26
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\n" ); document.write( "\"The sum of their age is 23 years\"
\n" ); document.write( "s + j = 23
\n" ); document.write( "s = 23 - j
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\n" ); document.write( ".How old are Samantha and Jason?
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\n" ); document.write( "Substitute (23-j) for s in the equation: 3s = 3j + 26
\n" ); document.write( "3(23-j) = 3j + 26
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\n" ); document.write( "69 - 3j = 3j + 26
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\n" ); document.write( "69 - 26 = 3j + 3j
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\n" ); document.write( "43 = 6j
\n" ); document.write( "j = \"43%2F6\"
\n" ); document.write( "j = 7\"1%2F6\" years old now
\n" ); document.write( "then
\n" ); document.write( "s = 23 - 7\"1%2F6\"
\n" ); document.write( "s = 15\"5%2F6\" yrs old now
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\n" ); document.write( "We can check that in the 1st statement
\n" ); document.write( "s = j + 8\"2%2F3\"
\n" ); document.write( "15\"5%2F6\" = 7\"1%2F6\" + 8\"2%2F3\"
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