document.write( "Question 1193931: Find three consecutive whole numbers such that twice the sum of the two smallest numbers is 10 more than three times the largest number. \n" ); document.write( "

Algebra.Com's Answer #825985 by ikleyn(52790) $\"\"$ $\"About$

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\n" ); document.write( "Find three consecutive whole numbers such that twice the sum of the two smallest numbers
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document.write( "Let the numbers be n, (n+1) and (n+2).\r\n" );
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document.write( "Write equation as you read the problem\r\n" );
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document.write( "    2*(n + (n+1)) = 3*(n+2) + 10.\r\n" );
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document.write( "Now simplify and find \"n\"\r\n" );
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document.write( "    2n + 2n + 2 = 3n + 6 + 10\r\n" );
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document.write( "    4n + 2 = 3n + 16\r\n" );
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document.write( "    4n - 3n = 16 - 2\r\n" );
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document.write( "       n    =    14\r\n" );
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document.write( "ANSWER.  The numbers are 14, 15 and 16.\r\n" );
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