document.write( "Question 1144261: Mary is 9 years younger than Anne. Tom is twice as old as Anne. If the sum of their ages is 95, how old are Mary, Tom, and Anne? \n" ); document.write( "

Algebra.Com's Answer #765318 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Let x be the Anne's age.\r\n" );
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document.write( "Then the Mary's age is (x-9) years and Tom's age is 2x years.\r\n" );
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document.write( "The total is\r\n" );
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document.write( "    x + (x-9) + 2x = 95.\r\n" );
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document.write( "Simplify and solve for x.\r\n" );
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document.write( "    4x - 9 = 95,\r\n" );
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document.write( "    4x     = 95 + 9\r\n" );
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document.write( "    4x     = 104\r\n" );
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document.write( "     x     = 104/4 = 26.\r\n" );
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document.write( "ANSWER.  Anne is 26 years old;  Mary is 26-9 = 17 years old;  Tom is  26*2 = 52 years old.\r\n" );
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document.write( "CHECK.   26 + 17 + 52 = 95 years.    ! Correct !\r\n" );
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