document.write( "Question 144057: The fifth number plus the third number equals fourteen.
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document.write( " The fourth number is one more than the second number.
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document.write( " The first number is one less than twice the second number.
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document.write( " The second number plus the third number equals ten.
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document.write( " The sum of all five numbers is 30. \n" );
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Algebra.Com's Answer #104856 by edjones(8007)![]() ![]() You can put this solution on YOUR website! let the number be abcde \n" ); document.write( "d=b+1 \n" ); document.write( "a=2b-1 \n" ); document.write( "so b<=5 \n" ); document.write( "b+c=10 \n" ); document.write( "so c=10-b \n" ); document.write( "a+d+e=20 \n" ); document.write( "so 2b-1+b+1+e=20 \n" ); document.write( "3b+e=20 \n" ); document.write( "e=20-3b \n" ); document.write( "so e=5 or 8 because b<=5 \n" ); document.write( "If e=5 then b=5 \n" ); document.write( "If e=8 then b=4 \n" ); document.write( "a+b+c+d+e=30 \n" ); document.write( "Try e=5: 2b-1+b+10-b+b+1+5=30 \n" ); document.write( "3b+15=30 \n" ); document.write( "3b=15 \n" ); document.write( "b=3 wrong \n" ); document.write( ". \n" ); document.write( "Try e=8: 2b-1+b+10-b+b+1+8=30 \n" ); document.write( "3b+18=30 \n" ); document.write( "3b=12 \n" ); document.write( "b=4 OK so far. \n" ); document.write( "a=7 \n" ); document.write( "c=6 \n" ); document.write( "d=5 \n" ); document.write( "7+4+6+5+8=30 \n" ); document.write( "7+5+8=20 \n" ); document.write( "74658 is the number \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " \n" ); document.write( " |