How old is Helen?

Two-thirds of Helen's age is half of Dale's age. Dale is 10 years older than Helen. How old is Helen?
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1 Answer

Let H=Helen’s age. Dale is H+10 years old and 2H/3=(H+10)/2. Multiply through by 6:

4H=3(H+10)=3H+30, so 4H-3H=30, therefore Helen is 30 years old.

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