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Think of a 5 digit number and call it N. When N has a 7 placed in front of it, the number is 5 times as large as when N has a 7 placed after it. What number is N?
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You equation is \[ 7\cdot 10^5+N=5\cdot(10\cdot N+7) \]
So your number is \[ N=\frac{7\cdot 10^5-35}{49}=14285 \]
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