document.write( "Question 410551: Tom is 15 years younger than alice. Ten years ago, Alice was 4 times as old as Tom was then. How old is each now? \n" ); document.write( "
Algebra.Com's Answer #288668 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x = tom's age today \n" ); document.write( "x + 15 = alice's age today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ten years ago, alice was 4 times as old as tom was then.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ten yeara ago, tom was x-10 years old. \n" ); document.write( "ten years ago, alice was (x+15) - 10 = x+5 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ten years ago, alice was 4 times as old as tom was then.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+5 = 4*(x-10)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+5 = 4x - 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract x from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 = 3x - 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 40 to both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "45 = 3x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 3 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's how old tom is today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "alice is 15 years older than that which makes alice 30 years old today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ten years ago, tom was 5. \n" ); document.write( "ten years ago, alice was 20.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "20 is 4 * 5 which confirms the value of x is good.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |