Question

if the Hcf of 85m and 153n is expressible in the form of 85m+153n then find the valu of m and n​

Answer 1

Answer:

Mate, the required answer is here..

Step-by-step explanation:

85 = 5 x 17

153 = 3 x 3 x 17

HCF of 85 & 153 = 17

85m + 153n = HCF of 85m & 153n

17 [ 5m+9n] = 17

5m + 9n= 17/17=1

5m = -9n

m = -9n/ 5

m/n = -9/ 5

m = -9 and n = 5.

Hope it helps you..