Question

Hcf of 126 and 35 is h if h I s expressed in the form h=126×a+35×b then prove that a×b÷h= -2

Answer 1

Answer:

Step-by-step explanation:

126=2*3*3*7

35=5*7

Therefore the HCF of 126 and 35 is 7

=>h=7

h=126*a+35*b

126a+35b=7

18a+5b=1

on comparison

a=2

b=-7

Is a solution

Now

(a*b)/h

=(2*(-7))/7

=-14/7

=-2

Hence proved.

HOPE IT HELPS