document.write( "Question 1047753: find three consecutive odd integers such that the sum of the least integer and the middle integer 19 more than the great integer \n" ); document.write( "

Algebra.Com's Answer #663287 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "find three consecutive odd integers such that the sum of the least integer and the middle integer 19 more than the great integer
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document.write( "Let A = 2n+1 be the first (the least) of the three consecutive odd integers;\r\n" );
document.write( "    B = 2n+3 be the second of the three consecutive odd integers; and\r\n" );
document.write( "    C = 2n+5 be the third.\r\n" );
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document.write( "The condition requires\r\n" );
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document.write( "A + B = C + 19,  or\r\n" );
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document.write( "(2n+1) + (2n+3) = (2n+5) + 19.\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "2n + 1 + 2n + 3 = 2n + 5 + 19,\r\n" );
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document.write( "2n + 4 = 24,\r\n" );
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document.write( "2n = 24 - 4 = 20,\r\n" );
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document.write( "n =  = 10.\r\n" );
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document.write( "So, your numbers are A = 2n+1 = 2*10+1 = 21; B = 21+2 = 23;  and C = 23+2 = 25.\r\n" );
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document.write( "Check. A + B = 21 + 23 = 44.\r\n" );
document.write( "        44 - 19 = 25.   Correct !\r\n" );
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document.write( "Answer. The numbers are 21, 23 and 25.\r\n" );
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