document.write( "Question 1106490: Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression. What are the three numbers?
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Algebra.Com's Answer #721479 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "The numbers are 3x, 9x and 10x for some x.\r\n" );
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document.write( "And the condition says that\r\n" );
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document.write( "3x, 9x and 10x + 10 \r\n" );
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document.write( "form an AP.  It implies\r\n" );
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document.write( "9x-3x = (10x+10) - 9x,   or\r\n" );
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document.write( "6x = x + 10  ====>  5x = 10  ====>  x = 2.\r\n" );
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document.write( "Answer.  The numbers are 6, 18  and 30.\r\n" );
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