Question

If the HCF (210,55) is expressible in the form 1050-55m find m.

Answer 1

Answer:

210 = 2×3×5×7

55 = 5 × 11

HCF ( 210 , 55 ) = 5

According to the question ...... ,

1050 - 55m = HCF ( 210 , 55 )

1050 - 55m = 5

1050 - 5 = 55m

1045 = 55m

$m = \frac{1045}{55} \\ \\ m = \frac{209}{11} \\ \\ m = \frac{19}{11}$

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