Question

. If the HCF of 55 and 99 is expressible in the form 55m � 99, then the value of m is: (a) 4 (b) 2 (c) 1 (d) 3

Answer 1

Prime factorization of 55 = 5 * 11

Prime factorization of 99 = 3 * 3 * 11

HCF(55,99) = 11.

Now,

55m - 99 = 11

55m = 99 + 11

55m = 110

m = 2.


Therefore the value of m = 2.


Hope this helps!

Answer 2

Hi,

Please see the attached file !


Thanks