document.write( "Question 933797: Kristine is 4 years younger than Mario. Three years from now she will be two-thirds as old as Mario. Find their present age. \n" ); document.write( "
Algebra.Com's Answer #567030 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = Mario's age now \n" ); document.write( "x - 4 = Kristine's age now\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 3 = Mario's age in 3 years {added 3 on to present age} \n" ); document.write( "x - 1 = Kristine's age in 3 years {added 3 on to present age}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - 1 = (2/3)(x + 3) {three years from now, she will be 2/3 his age} \n" ); document.write( "3(x - 1) = 2(x + 3) {multiplied entire equation by LCD, 3, to eliminate fraction} \n" ); document.write( "3x - 3 = 2x + 6 {used distributive property} \n" ); document.write( "x - 3 = 6 {subtracted 2x from each side} \n" ); document.write( "x = 9 {added 3 to each side} \n" ); document.write( "x - 4 = 5 {substituted 9, in for x, into x - 4}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Mario is 9 \n" ); document.write( "Kristine is 5 \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |