Question

if the hcf of 85 and 153 is expressible in the form 85n-153 then the value of n is?

Answer 1

given,

HCF==
85=5×17
153=3²×17
HCF=17

so now,.....

85n-153=17
85n=17+153
n=170/85
n=2....

thank☺☺...!

Answer 2

Heya Friend!!!

85 = 17 × 5

153 = 17 × 3²

So ★ HCF = 17 ★

According to question.....

85n - 153 = HCF ( 85 , 153 )

So ,

85n - 153 = 17

85n = 17 + 153

85n = 170

♦ n = 2 ♦

Hope it helps