Math, asked by anusha, 1 year ago

Hcf of 310,55 is expressed in form of 210x +51y find x and y

Answers

Answered by haneefbilal10
1

Answer:

hope this answer will be useful

Step-by-step explanation:

Let us first find the HCF of 210 and 55.

Applying Euclid division lemna on 210 and 55, we get

210 = 55 × 3 + 45

55 = 45 × 1 + 10

45 = 4 × 10 + 5

10 = 5 × 2 + 0

We observe that the remainder at this stage is zero. So, the last divisor i.e., 5 is the HCF of 210 and 55.

∴ 5 = 210 × 5 + 55y

⇒ 55y = 5 - 1050 = -1045

∴ y = -19


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