Question 1148773
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From the condition,  Sophie is 28 years older than her daughter Nichole.


The question asks: How old  Nichole will be when Sophie is two years less than 6 times Nichole's age ?


So, let "x" be the Nichole age at this time.

Then Sophie age is  (x+28) years.


At the questioned time, this equation will be held


    x + 28 = 6x - 2.


Simplify and solve for x


   28 + 2 = 6x - x

   30     = 5x

    x     = 30/5 = 6.


<U>ANSWER</U>.  In 6 years.


<U>CHECK</U>.   Sophie will be 6 years old;  Nichole will be 6+28 = 34, which is 6*6-2 = 34 years.    ! Correct !
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Solved.