HCF of 126 and 35 is H.if H is expressed as H=126*A+35*B prove that A*

1.	HCF of 126 and 35 is H.if H is expressed as H=126A+35B prove that A*b÷H= -2
Answer» 126 = 2 X 3 X 3 X 7to prove A X B÷ H= -2-------(i) 35 = 5 X 7so, H.C. F. of (126, 35) is = 7according to question H = 126 X A + 35 X B7 = 126A+35B7 = 7(18A+5B)1 = 18A+5Bhere 1 is possible if A = 2, B= -7now put these values in eqn---(i)2 X (-7)÷ 7 = -2, hence proved

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