document.write( "Question 1148773: Sophie was 28 years old when her daughter Nichole was born. In how many years will Sophie be two years less than six times Nicholes age? \n" ); document.write( "

Algebra.Com's Answer #770112 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "From the condition,  Sophie is 28 years older than her daughter Nichole.\r\n" );
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document.write( "The question asks: How old  Nichole will be when Sophie is two years less than 6 times Nichole's age ?\r\n" );
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document.write( "So, let \"x\" be the Nichole age at this time.\r\n" );
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document.write( "Then Sophie age is  (x+28) years.\r\n" );
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document.write( "At the questioned time, this equation will be held\r\n" );
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document.write( "    x + 28 = 6x - 2.\r\n" );
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document.write( "Simplify and solve for x\r\n" );
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document.write( "   28 + 2 = 6x - x\r\n" );
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document.write( "   30     = 5x\r\n" );
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document.write( "    x     = 30/5 = 6.\r\n" );
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document.write( "ANSWER.  In 6 years.\r\n" );
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document.write( "CHECK.   Sophie will be 6 years old;  Nichole will be 6+28 = 34, which is 6*6-2 = 34 years.    ! Correct !\r\n" );
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