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)![]() ![]() You can put this solution on YOUR website! 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( ": \n" ); document.write( "Man, they love these fractions, don't they \n" ); document.write( ": \n" ); document.write( "Let r = Ryan's age now \n" ); document.write( "Let a = Alexander's age now \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"Ryan was born 6 and one-fourth years after Alexander.\" \n" ); document.write( "r = a - 6 \n" ); document.write( "Convert to an improper fraction \n" ); document.write( "r = a - \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 \n" ); document.write( ": \n" ); document.write( "\"The sum of their ages are 66 and eleven-twelfth years.\" \n" ); document.write( "a + r = 66 \n" ); document.write( "convert to an improper fraction \n" ); document.write( "a + r = \n" ); document.write( "Get rid of the fraction, mult by 12 \n" ); document.write( "12a + 12r = 803 \n" ); document.write( ": \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 \n" ); document.write( "a = 36 \n" ); document.write( ": \n" ); document.write( "Find r using equation: a + r = 66 \n" ); document.write( "r = 66 \n" ); document.write( "r = 30 \n" ); document.write( "r = 30 \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Confirm our solutions using the original equation: r = a - 6 \n" ); document.write( "30 \n" ); document.write( "\n" ); document.write( "30 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |