SOLUTION: Thandi is 6 years older than Sophie. In 3 years time Thandi will be twice as old as Sophie. Set up an algebraic equation to describe the problem situation.

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Question 1194275: Thandi is 6 years older than Sophie. In 3 years time Thandi will be twice as old as Sophie. Set up an algebraic equation to describe the problem situation.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Their respective ages now, x+6 and x.
x%2B9=2%28x%2B3%29

x%2B9=2x%2B6
3=x
Sophie is 3 years old right now.

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.

Their respective ages now are  x+6  and  x  years.


In 3 years


    (x+6) + 3 = 2(x+3)

    x + 9 = 2x + 6

    9 - 6 = 2x - x

      3   =    x.


ANSWER.  Sophie is 3 years old;  Thandi is 3+6 = 9 years old.

Solved.

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