document.write( "Question 832570: The sum of the three smallest of four consecutive integers is 30 more than the largest integer. What are the four consecutive integers? \n" ); document.write( "
Algebra.Com's Answer #502085 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "THE PROBLEM:\r\n" );
document.write( "The sum of the three smallest of four consecutive integers is 30 more than the largest integer.  What are the four consecutive integers?\r\n" );
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document.write( "A SOLUTION:\r\n" );
document.write( "Let x be the smallest integer.\r\n" );
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document.write( "Then the other three consecutive integers are x + 1, x + 2, and x+3.\r\n" );
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document.write( "The sum of the smallest three integers is 30 more than the largest integer, so\r\n" );
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document.write( "x + (x + 1) + (x + 2) = (x + 3) + 30\r\n" );
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document.write( "Solve for x to find the smallest integer.\r\n" );
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document.write( "3x + 3 = x + 33\r\n" );
document.write( "2x + 3 = 33\r\n" );
document.write( "2x = 30\r\n" );
document.write( "x = 15\r\n" );
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document.write( "In the context of this problem, x = 15 means that the smallest integer is 15. \r\n" );
document.write( "The other three integers are 16, 17, and 18.\r\n" );
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document.write( "Check your answer:\r\n" );
document.write( "The sum of the three smallest integers is 15+16+17=48, and 48 is 30 more than 18. Check!\r\n" );
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document.write( "Hope this helps! Feel free to email if you have any questions about the solution.\r\n" );
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document.write( "Good luck with your math,\r\n" );
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document.write( "Mrs. F\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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