Math, asked by teresasingh521, 7 months ago

30 and70 ka linear combination..​

Answers

Answered by rsingh625
3

Given numbers are :

70 and 30

To Find :

HCF and LCM of these two numbers as a linear combination of ax + by , the find the the values of x and y ?

Solution :

∴By Euclid's Division Lemma , HCF of 70 and 30 can be found in the following way :

70 = 30 2 + 10 - (1)

And , 30 = 10 3 + 0

∴The least non zero remainder obtained is 10 , so HCF of 70 and 30 is = 10

Now, let 10 = 70x + 30y

From eq (1) we see that :

10 = 70 - (30 2)

⇒ On comparing we get that x = 1 and y = -2

Hence , value of x is 1 and y is (-2) .

Answered by Anonymous
1

Answer:

Thanku cute mate kasi ho☺️

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