Question

find HCF of 210 and 55.Then exprees it in the form of 210x+55y.find the value of x and y.(lesson - rational numbers class 10)3​

Answer 1

Let us first find the HCF of 210 and 55.

Applying Euclid division lemma 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

I think this will help U

Answer 2

Answer:

HCF of 210 and 55 is 5

• 210x+55y=5
• first put x=5
• therefore 210(5)+55y=5
• by solving this equation.
• we have x=5 and y=19.

I hope it helps you....

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