SOLUTION: Joan is 14 years old and her mom is 41 years old. Both their ages have the same two digits. How many years until their ages have two digits again?
I have tried to work this one
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I have tried to work this one
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Question 680872: Joan is 14 years old and her mom is 41 years old. Both their ages have the same two digits. How many years until their ages have two digits again?
I have tried to work this one out on my own, but it is a very hard question that just takes a lot of time. I think there is a trick to it, but I do not know for sure. Thanks for your time. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Note that the difference in their ages, which is , will always stay the same
in the future.
I can express mom's future age as
and, Joan's age as
So, I have
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This is true now for Mom, since
note tyhat
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Mom will be 52 and Joan is 25 when digits are swapped
Note that as it should be
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The next time would be when
Mom is 63 and Joan is 36
