document.write( "Question 1040772: If the average of a and 2b is 26, the average of b and 2c is 41, and the average of c and 2a is 23, what is the average of a,b,and c? \n" ); document.write( "

Algebra.Com's Answer #655679 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "If the average of a and 2b is 26, the average of b and 2c is 41, and the average of c and 2a is 23, what is the average of a,b,and c?
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document.write( "You are given that\r\n" );
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document.write( "a + 2b = 2*26 = 52,   (1)\r\n" );
document.write( "b + 2c = 2*41 = 82,   (2)   and\r\n" );
document.write( "c + 2a = 2*23 = 46.   (3)\r\n" );
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document.write( "Add all three equations (both left and right sides). You will get \r\n" );
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document.write( "3a + 3b + 3c = 52 + 82 + 46 = 180.\r\n" );
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document.write( "Divide both sides by 3. You will get\r\n" );
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document.write( "a + b + c =  = 60.\r\n" );
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document.write( "Answer.  The average of a, b and c is  =  = 20.\r\n" );
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