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A pair of distinct two digit integers n d is misleading if the first digit...

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A pair of distinct two digit integers n d is misleading if the first digit of d equals the second digit of n and if you write the numbers as a fraction and cancel i e cross out the common digits you get an equal fraction For example 16 64 is a misleading pair since 16 16 64 a Find all pairs of two digit misleading integers Explain how you know you have found all possible misleading two digit pairs b Are there any misleading pairs of three digit integers For a three digit pair to be mis leading when written as a fraction cancelling the first digit of d with either the second or third digit of n where the digits being canceled are equal results in a fraction equal in value to the original fraction Furthermore the two integers cannot both end in 0 otherwise the pair could be obtained directly from a pair of misleading two digit num bers

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