document.write( "Question 1171124: Let A, B, and C be three of the most popular television shows of all time. The total number of episodes of these three shows is 581. There are 26 more episodes of A than C, and the difference between the number of episodes of B and C is 12. Find the number of episodes of each show. \n" ); document.write( "

Algebra.Com's Answer #796025 by ikleyn(52832) $\"\"$ $\"About$

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document.write( "Let x = the number of C.\r\n" );
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document.write( "Then the number of A is x+26\r\n" );
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document.write( "and the number of B is x+12, according to the condition.\r\n" );
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document.write( "You have then this equation for the total\r\n" );
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document.write( "    x + (x+26) + (x+12) = 581\r\n" );
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document.write( "which gives\r\n" );
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document.write( "    3x = 581 - 26 - 12 = 543,  x = 543/3 = 181.\r\n" );
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document.write( "ANSWER.  C = 181;  A = 181 + 26 = 207  and  B = 181 + 12 = 193.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Very simple problem.\r
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