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Question 24

Peter $$8$$ years old asked his mother how old she was. She said, "when you are as old as I am now, I will be $$54$$ years old". Peter's mother's current age is


Correct Answer: 31

Solution

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Let the mother's current age be $$m$$. Peter will reach age $$m$$ after $$m-8$$ years, so the mother's age then will be $$m+(m-8)=2m-8$$. Since this is $$54$$, we get $$2m-8=54$$ and hence $$m=31$$.

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