document.write( "Question 1184508: Amy is one year older than Ben the sum of their ages is greater than 33 and less than 45 find all possible ages of Ben \n" ); document.write( "

Algebra.Com's Answer #815110 by ikleyn(52802) $\"\"$ $\"About$

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\n" ); document.write( "Amy is one year older than Ben the sum of their ages is greater than 33 and less than 45 find all possible ages of Ben
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document.write( "Let \"b\" be the Ben's age.\r\n" );
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document.write( "Then Amy's age is (b+1) years.\r\n" );
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document.write( "From the condition, we have this compound inequality\r\n" );
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document.write( "    33 < b + (b+1) < 45\r\n" );
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document.write( "Simplify and solve for b\r\n" );
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document.write( "    33 < 2b + 1 < 45.\r\n" );
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document.write( "Subtract 1 from all three terms\r\n" );
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document.write( "    32 < 2b < 44.\r\n" );
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document.write( "Divide by 2 all the terms \r\n" );
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document.write( "    16 < b < 22.\r\n" );
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document.write( "It is the ANSWER  to the problem's question.\r\n" );
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