Question

find the positive integer m,n such that 1/m+1/n=3/17​

Answer 1

Answer:

M=6,n=102

Step-by-step explanation:

1/6+1/102=3/17

Answer 2

6 &  102 are the integers such that 1/m + 1/n = 3/17

Step-by-step explanation:

1/m + 1/n =3/17​

as 17 is a prime number

Hence let say  m & n  will have common factor of 17

let say m = a

then n =     17ab

=>  1/a  + 1/17ab   = 3/17

multiplying both sides with 17ab  

=> 17b  +  1  = 3ab

Lets take b = 1

then 17 + 1 = 3a

=> a = 6

Hence numbers are   6  & 102

1/6  + 1/102

= (17 + 1)/102

= 18/102

= 3/17

Hence 6 &  102 are the integers such that 1/m + 1/n = 3/17

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