The sum of two positive integers 'a' and 'b' is 528 and their HCF is 33. Which of the following cannot be the value of (a - b)? (A) 396 (B) 264 (C) 6 (D) 33

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Answer 1 · 2018-08-09T05:06:51

The right option is (C) #6#.

The HCF of #a, b in NN# is #33#.

#:. a=33x and b=33y# for some #x,y in NN#.

Utilising this in the Given that #a+b=528#, we have,

#33x+33y=528#.

Now, #a-b=33x-33y=33(x-y)=33m," say, "m in NN#.

This shows that #(a-b)# must be a multiple of #33#.

Therefore, the right option is (C) #6#.