Question

if the HCF of 55 and 99 is expressible in the form of 55m-99 what is the value of m

Answer 1

Answer:

m = 2

Step-by-step explanation:

HCF of 55 and 99

first of all find factors of 55 and 99

factors of 55 = 1 × 5 × 11

factors of 99 = 1 × 3 × 3 × 11

now, common factors of 55 and 99 = 1 × 11 = 11

hence, HCF of 55 and 99 = 11

now, A/C to question,

HCF of 55 and 99 = 55m - 99

so, 55m - 99 = 11

55m = 110 => m = 2

Answer 2

Step-by-step explanation:

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