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If 'd' is the HCF of …

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If 'd' is the HCF of 45 and 27. Find x and y satisfying d = 27x + 45y.

Posted by Prateek Sharma 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Gaurav Seth 6 years, 10 months ago

The numbers are :-
45 and 27

Lets find their HCF

BY Euclid's division Lemma :-

a = bq + r

45 = 27 x 1 + 18
27 = 18 x 1 + 9
18 = 9 x 2 + 0

HCF = d = 9

Given:-

d = 27x+45y

9 = 27x + 45y

9 = 27 - 18 x 1

18 = 45 - 27 x 1

Therefore ,
9 = 27 - [ 45 x 27 x 1 ] x 1
= 27 x 2 - 45

9 = 27 x 2 + 45 x [ -1 ]

x = 2
y = -1

4Thank You

Geetanand Yadav/ Rao Sahab??????✌??? 6 years, 10 months ago

These Have infinitely many solution

1Thank You

ANSWER

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