document.write( "Question 752624: The ratio of sam's age to his father's is 1:3. In five years, Sam's age will be 3/7 of his father's age. What is the age difference of Sam and his father? \n" ); document.write( "
Algebra.Com's Answer #457954 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The ratio of sam's age to his father's is 1:3. \n" ); document.write( " In five years, Sam's age will be 3/7 of his father's age. \n" ); document.write( " What is the age difference of Sam and his father? \n" ); document.write( ": \n" ); document.write( "Let x = the multiplier \n" ); document.write( "then \n" ); document.write( "1x = age of sam \n" ); document.write( "and \n" ); document.write( "3x = age of father \n" ); document.write( ": \n" ); document.write( "\"In five years, Sam's age will be 3/7 of his father's age.\" \n" ); document.write( " \n" ); document.write( "Cross multiply \n" ); document.write( "3(3x+5) = 7(x+5) \n" ); document.write( "9x + 15 = 7x + 35 \n" ); document.write( "9x - 7x = 35 - 15 \n" ); document.write( "2x = 20 \n" ); document.write( "x = 20/2 \n" ); document.write( "x = 10 is the multiplier \n" ); document.write( "then \n" ); document.write( "3(10) = 30 yrs is Dad's age \n" ); document.write( "1(10) = 10 yrs is Sam's age \n" ); document.write( "---------------------------- \n" ); document.write( "Age dif: 20 yrs\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |