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Answer 1

Question-

if the HCF of 210 and 55 is expressible in the form of 210×5+55y, find y

Answer= -19

Step-by-step explanation:

First, find the HCF by Euclid's Division Algorithm:-

210 = 55 × 3 + 45

55 = 45 × 1 + 10

45 = 10 × 4 +5

10 = 5 × 2 + 0

Therefore, HCF = 5.

Second, expressible the HCF in the form of 210 × 5 + 55y

5= 210 × 5 +55y

5 - 210 ×5 = 55y

5 - 1050 = 55y

y = -1045/55

y = -19

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