document.write( "Question 702005: Bill Phipps is 6 times as old as his 5-year old niece. How long will it be before he is twice as old as she?\r
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document.write( "Thanks for your help :) \n" );
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Algebra.Com's Answer #432713 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Bill Phipps is 6 times as old as his 5-year old niece\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So Bill is 6*5 = 30 years old\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In x years, he will be 30+x years old\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In x years, she will be 5+x years old\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you want to know when he will be twice her age, simply say\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "30+x = 2(5+x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then solve for x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "30+x=2(5+x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "30+x=10+2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=10+2x-30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-2x=10-30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-x=10-30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-x=-20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=(-20)/(-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So it will take 20 years for him to be twice as old as her.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice how adding 20 years to 30 makes him now 50. Adding the same 20 years to 5 makes her now 25. Finally, notice that 50 is double of 25. So the answer checks. \n" ); document.write( " |