SOLUTION: Ericka is twice as old as her sister and half as old as her mother. And in 22 years, her sister will be half as old as the mother. How old is Ericka now?

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Question 386486: Ericka is twice as old as her sister and half as old as her mother. And in 22 years, her sister will be half as old as the mother. How old is Ericka now?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Ericka is twice as old as her sister and half as old as her mother

Let x, x/2 and x/4 represent the mother's, ericka's and her sister ages.

Write as we read***

 (x/4 + 22) = 1/2(x+22)

 Solving for x

 x/4 + 22 = 1/2x + 11

       11 = x/4

        x = 44, the mother's age now, ericka is 22 and her sister 11



CHECKING our Anwer***

   11 + 22 = 33  = (44+22)/2