Question

An order pair (n,m) of positive integers satisfying 1n+1m−1mn=25 , the value of mn is​

Answer 1

Step-by-step explanation:

We are given that 1/m + 4/n = 1/12 such that n is odd and 0 < n < 60.

Let us try and find out the value of m in terms of n

=> 1/m = 1/12 - 4/n

=> 1/m = (n - 48)/12n

=> m = 12n/(n - 48)

So, we can say that n > 48

Possible odd values of n such that 48 < n < 60 are 49, 51, 53, 55, 57 and 59

n = 49, m = 588

n = 51, m = 204

n = 53, m = non-integral value

n = 55, m = non-integral value

n = 57, m = 76

n = 59, m = non-integral value