document.write( "Question 1088473: a*b=62217, c*d=52983, b*c=56637, d*a=58203, b*d=72819, c*a=45269 solve this a+b+c+d=? , A*B*C*D=? , A=?, B=?, C=?,D=? \n" ); document.write( "
Algebra.Com's Answer #702760 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( " \"a%2Ab=62217\",
\n" ); document.write( "\"c%2Ad=+52983\",
\n" ); document.write( "\"b%2Ac=56637\",
\n" ); document.write( "\"d%2Aa=58203\",
\n" ); document.write( "\"b%2Ad=72819\",
\n" ); document.write( "\"c%2Aa=45269\" \r
\n" ); document.write( "\n" ); document.write( "solve this: \r
\n" ); document.write( "\n" ); document.write( "\"a%2Bb%2Bc%2Bd\"=? , \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "since given \"a%2Ab=62217\" and \"c%2Ad=+52983\", we have\r
\n" ); document.write( "\n" ); document.write( "\"A%2AB%2AC%2AD=%28A%2AB%29%2A%28C%2AD%29+=62217%2A52983=3296443311\"\r
\n" ); document.write( "\n" ); document.write( "now, we will find out what are \"A\",\"B\",\"C\",and \"D\" equal to:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"a%2Ab=62217\"->\"b=62217%2Fa\".....1)
\n" ); document.write( "\"b%2Ad=72819\"->\"b=72819%2Fd\"....1)\r
\n" ); document.write( "\n" ); document.write( "from 1) and 2):
\n" ); document.write( "=>\"62217%2Fa=72819%2Fd\"=>\"d%2Fa=72819%2F62217\"=>\"d%2Fa=261%2F223\"=>\"d=261a%2F223\"....3)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "since \"d%2Aa=58203\" we have \"d=58203%2Fa\"....4)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "from 3) and 4) we have\r
\n" ); document.write( "\n" ); document.write( "\"261a%2F223+=58203%2Fa\"............solve for \"a\"\r
\n" ); document.write( "\n" ); document.write( "\"a%2Aa%2F223+=58203%2F261\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2=%2858203%2F261%29223+\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2=%28223%29223+\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2=%28223%29%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28a=223+%29\"\r
\n" ); document.write( "\n" ); document.write( "find \"d\":\r
\n" ); document.write( "\n" ); document.write( "\"d=261a%2F223\"....3)\r
\n" ); document.write( "\n" ); document.write( "\"d=%28261%2Across%28223%29%29%2Fcross%28223%29\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28d=261%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "go to \"a%2Ab=62217\", plug in \"a\" and find \"b\"\r
\n" ); document.write( "\n" ); document.write( " \"223%2Ab=62217\"
\n" ); document.write( " \"b=62217%2F223\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28b=279%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "go to \"b%2Ac=56637\",plug in \"b\" and find \"c\"\r
\n" ); document.write( "\n" ); document.write( "\"279%2Ac=56637\"\r
\n" ); document.write( "\n" ); document.write( "\"c=56637%2F279\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28c=203%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so, we have:
\n" ); document.write( " \"A=highlight%28a=223+%29\"
\n" ); document.write( "
\n" ); document.write( "\"B=highlight%28b=279%29\"\r
\n" ); document.write( "\n" ); document.write( "\"C=highlight%28c=203%29\"\r
\n" ); document.write( "\n" ); document.write( "\"D=highlight%28d=261%29\"\r
\n" ); document.write( "\n" ); document.write( "and, finally we can find \"a%2Bb%2Bc%2Bd\"\r
\n" ); document.write( "\n" ); document.write( "\"a%2Bb%2Bc%2Bd=223%2B279%2B203%2B261=966\"\r
\n" ); document.write( "\n" ); document.write( "check the product:\r
\n" ); document.write( "\n" ); document.write( "\"A%2AB%2AC%2AD=223%2A279%2A203%2A261=3296443311\"....confirmed\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );