Question

solve no 3 in full process

Answer 1

Given 78m - 143.

143 > 78.


(1) 143 = 78 * 1 + 65

The remainder is not equal to 0. use division algorithm to 78 and 65.

(2) 78 = 65 * 1 + 13

The remainder is not equal to 0. Use division algorithm to 65 and 13.

(3) 65 = 13 * 5 + 1

The remainder is 0.

Therefore the HCF of 78 and 143 = 13.


Now,

13 = 78 - 65 * 1

     = 78 - (143 - 78) * 1

     = 78 - 143 * 1 + 78 * 1

     = 78(2) - 143.



Therefore the value of m = 2.
.

Hope this helps!