If HCF of 28 and 44 is exprressed as 28x+44y. Then find value of x and y
Answers
Answered by
0
Answer:
x=1/7 and y=1/11 are the values u r searching for
plz guide me if i am wrong
Answered by
8
Answer:
HCF(28,44) = 4
now,
HCF OF 28 AND 44 CAN BE WRITTEN AS::::::::
44 = 28 ×1 + 16
28 = 16×1 + 12
16 = 12×1 + 4
12 = 4×3 + 0
NOW,
LETS START FROM THE EQUATION WHICH ENDS WITH 4 AS 4 IS THE HCF
HENCE,
4 = 16 -12×1
4 = 16-(28-16)
4= 16-(28-(44-28)
4= 16-28+44-28
4= 16 -28(2) + 44(1)
4= (44-28)-28(2)+44(1)
4= -28(3) + 44(2)
4 = 28(-3) + 44(2)
THEREFORE, VALUE OF ::::::
X = -3
Y = 2
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