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HCF of 126 and 35 is …

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HCF of 126 and 35 is H.if H is expressed as H=126*A+35*B prove that A*b÷H= -2

Posted by Vedang Patil 3 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Ashutosh Dixit 3 years, 4 months ago

126 = 2 X 3 X 3 X 7to prove A X B÷ H= -2-------(i) 35 = 5 X 7 so, H.C. F. of (126, 35) is = 7 according to question H = 126 X A + 35 X B 7 = 126A+35B 7 = 7(18A+5B) 1 = 18A+5B here 1 is possible if A = 2, B= -7 now put these values in eqn---(i) 2 X (-7)÷ 7 = -2, hence proved

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CBSE > Class 10 > Mathematics