Question

IF HCF (65,117) = 65m - 177n. THE FIND THE VALUES OF m and n.


CORRECT ANSWER= BRAINLIEST+ LOVE AND RATE​

Answer 1

Answer:

By Euclid's division algorithm 

117 = 65x1 + 52.

65 = 52x1 + 13

52 = 13x4 + 0

Therefore 13 is the HCF (65, 117).

Now work backwards:

13 = 65 + 52x(-1)

13 = 65 + [117 + 65x(-1)]x(-1)

13 = 65x(2) + 117x(-1).

∴ m = 2 and n = -1.

Here's Your Answer

Hope it Helps

Answer 2

Answer:m=2,n=1

117=65×1+52

65=52×1+13

52=13×4

Step-by-step explanation:

13=65-52

=65-(117-65×1)(by reverse from upside)

=2×65-117×1