document.write( "Question 1147240: Mary’s grandmother’s age is 11 years less than 9 times mary’s age. The sum of their ages is 69. Find each of their ages. \n" ); document.write( "

Algebra.Com's Answer #768547 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "Let Mary's age will be x years.\r\n" );
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document.write( "Then the grandmother's age is  (9x - 11) years.\r\n" );
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document.write( "According to the condition,\r\n" );
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document.write( "    x + (9x-11) = 69.\r\n" );
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document.write( "Simplify and solve for x\r\n" );
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document.write( "    10x = 69 + 11\r\n" );
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document.write( "    10x = 80\r\n" );
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document.write( "      x = 80/10 = 8.\r\n" );
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document.write( "ANSWER.  Mary is 8 years old;  her grandmother is  69-8 = 61 years old.\r\n" );
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document.write( "CHECK.   8*9 - 11 = 72 - 11 = 61 years.  ! Correct !\r\n" );
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