document.write( "Question 644382: susan's father is 3 years more than twice as old as susan.yhe product of their ages in years is 560.how old is susan?\r
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Algebra.Com's Answer #405006 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! let f = father's age and s = susan's age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = 2s + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f*s = 560\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2s + 3)*s = 560\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "s(2s + 3) = 560\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2s^2 + 3s = 560\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2s^2 + 3s - 560 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2s+35)(s-16) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2s+35 = 0 or s-16 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2s = -35 or s = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "s = -35/2 or s = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "s = -17.5 or s = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Toss the negative solution to get the only solution: s = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So Susan is 16 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = 2s + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = 2(16) + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = 32 + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = 35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and her father is 35 years old\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------------------------------------------------- \n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( "-------------------------------------------------------------------------------------------------------------- \n" ); document.write( " |