HCF of 55 and 99 is expressible in the form 55m - 99 , then what is the value of m ?

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Solution

Factors of 55 = 5 × 11
Factors of 99 = 9 × 11
Therefore, H.C.F of 55 and 99 = 11.
Also H.C.F is expressed in the form of 55m – 99, therefore we get
55m – 99 = 11
55m = 110
m= 2.

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