document.write( "Question 773349: Half the largest of the three consecutive integers is one-fourth of, 24 less than thrice the second integer. What arethe numbers? \n" ); document.write( "

Algebra.Com's Answer #471483 by ramkikk66(644) $\"\"$ $\"About$

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document.write( "Let the 3 integers be n-1, n and n+1.\r\n" );
document.write( "Actually the smallest integer is not referred to in the problem at all, so the\r\n" );
document.write( "problem can be solved for any 2 consecutive integers too. But that does not \r\n" );
document.write( "matter.\r\n" );
document.write( "Break down the statement given step by step and derive the algebraic expression\r\n" );
document.write( "for each.\r\n" );
document.write( "1) Largest of the number = n+1\r\n" );
document.write( "2) Half the largest = \r\n" );
document.write( "This is the first part.\r\n" );
document.write( "3) Thrice the second integer = 3*n\r\n" );
document.write( "4) 24 less than thrice the second integer = \r\n" );
document.write( "5) 1/4th of, 24 less than thrice the second integer = \r\n" );
document.write( "This is the second part.\r\n" );
document.write( "Equating the 2, we get\r\n" );
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document.write( "Cross multiplying and simplifying\r\n" );
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document.write( "So the 3 numbers are 25, 26, 27\r\n" );
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