document.write( "Question 164507: 2)Ryan was born 6 and one-fourth years after Alexander.The sum of their ages are 66 and eleven-twelfth years.How old are Alexander and Ryan? \n" ); document.write( "
Algebra.Com's Answer #121319 by ankor@dixie-net.com(22740)\"\" \"About 
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2)Ryan was born 6 and one-fourth years after Alexander.The sum of their ages are 66 and eleven-twelfth years.How old are Alexander and Ryan?
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\n" ); document.write( "Man, they love these fractions, don't they
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\n" ); document.write( "Let r = Ryan's age now
\n" ); document.write( "Let a = Alexander's age now
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"Ryan was born 6 and one-fourth years after Alexander.\"
\n" ); document.write( "r = a - 6\"1%2F4\"
\n" ); document.write( "Convert to an improper fraction
\n" ); document.write( "r = a - \"25%2F4\"
\n" ); document.write( "Get rid of the fraction, mult by 4
\n" ); document.write( "4r = 4a - 25
\n" ); document.write( "or
\n" ); document.write( "4a - 4r = 25
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\n" ); document.write( "\"The sum of their ages are 66 and eleven-twelfth years.\"
\n" ); document.write( "a + r = 66\"11%2F12\"
\n" ); document.write( "convert to an improper fraction
\n" ); document.write( "a + r = \"803%2F12\"
\n" ); document.write( "Get rid of the fraction, mult by 12
\n" ); document.write( "12a + 12r = 803
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\n" ); document.write( "Multiply eq (4a-4r=25) by 3 and add to the above equation
\n" ); document.write( "12a + 12r = 803
\n" ); document.write( "12a - 12r = 75
\n" ); document.write( "------------------adding eliminates r, find a
\n" ); document.write( "24a = 878
\n" ); document.write( "a = 36\"14%2F24\"
\n" ); document.write( "a = 36\"7%2F12\" is Alexander's age
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\n" ); document.write( "Find r using equation: a + r = 66\"11%2F12\"
\n" ); document.write( "r = 66\"11%2F12\" - 36\"7%2F12\"
\n" ); document.write( "r = 30\"4%2F12\"
\n" ); document.write( "r = 30\"1%2F3\"; is Ryan's age
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\n" ); document.write( "Confirm our solutions using the original equation: r = a - 6\"1%2F4\"
\n" ); document.write( "30\"4%2F12\" = 36\"7%2F12\" - 6\"3%2F12\"\r
\n" ); document.write( "\n" ); document.write( "30\"4%2F12\" = 30\"4%2F12\"\r
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