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If the HCF of 55 and …

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If the HCF of 55 and 99 is expressible in the form55m -99, then find the value of m.
  • 1 answers

HCF of 55 and 99 is 11.

Thus, 55m - 99 = 11
          11(5m - 9) = 11
          5m - 9 = 1
          5m = 9 + 1 = 10
         thus, m = 2.

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