Question

If The HCF and LCM of 85 and 153 is expressible in the form 85n - 153, then find the value of n.

Answer 1

Answer:

given=85 and 153

153>85 by using euclid division of lemma

we have

$153 = 85 \times 1 + 68 \\ 85 = 68 \times 1 + 17 \\ 68 = 17 \times 4 + 0$

17=85x-153

153+17=85x

170=85x

170/2=x

x=2

Answer 2

Answer:

by euclid division lemma hcf of 85and 153

153 = 85×1+68

85 = 68×1+17

68 = 17×4+0

so reminder is zero

Hcf of 85 and 153 =17

17= 85n-153

85n = 170

n = 2