document.write( "Question 1021551: In a film an actor plays an \"uncle\", he was being criticized for marrying a woman when he is three times her age. He then replied ah but in 20 years time I will only be twice her age. How old is the \"uncle\" and the woman?
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document.write( "Need a formula on how to get answer \n" );
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Algebra.Com's Answer #637296 by ikleyn(52793)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "In a film an actor plays an \"uncle\", he was being criticized for marrying a woman when he is three times her age. He then replied ah but in 20 years time I will only be twice her age. How old is the \"uncle\" and the woman? \n" ); document.write( "Need a formula on how to get answer \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Today: \r\n" ); document.write( "m = 3w (man's age is three times of that of the woman).\r\n" ); document.write( "\r\n" ); document.write( "In 20 years after:\r\n" ); document.write( "m + 20 = 2(w+20).\r\n" ); document.write( "\r\n" ); document.write( "So you have the system of two equations in two unknowns:\r\n" ); document.write( "\r\n" ); document.write( "m = 3w, (1)\r\n" ); document.write( "m + 20 = 2(w+20). (2)\r\n" ); document.write( "\r\n" ); document.write( "Substitute m = 3w from (1) to (2). You will get\r\n" ); document.write( "\r\n" ); document.write( "3w + 20 = 2(w+20), or 3w + 20 = 2w + 40, or w = 40-20 = 20.\r\n" ); document.write( "\r\n" ); document.write( "Answer. Woman is 20 years now. The actor is 60 years now.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Thank you for submitting so fresh formulation of so traditional problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |