document.write( "Question 1121307: I was asked to solve this linear equation.
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document.write( " A man is four times as old as his son. In four years time he will be three times older in age, what are their ages now \n" );
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Algebra.Com's Answer #737136 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x equal the son's age now.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the father's age now is therefore equal to 4x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i think you mean that, in 4 years time, he will be 3 times as old as his son.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in 4 years, the father will be 4x + 4 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in 4 years, the son will be x + 4 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in 4 years the father will be 3 times as old as the son leads to the equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x + 4 = 3 * (x + 4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify this to get 4x + 4 = 3x + 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 3x from both sides of this equation and subtract 4 from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's his son's age today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he is 4 * 8 = 32 years old today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in 4 years, he will be 36 years old and his son will be 12 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "36 = 3 * 12 means that he will be 3 times as old as his son in 4 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "today he's 32 and his son is 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "32 = 4 * 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 years from now, he will be 36 and his son will be 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "36 = 3 * 12.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that their he is now 32 and his son is now 8.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |