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Factors of a Number

If m+n=m n-5,...

Question

If m + n = mn - 5, then the maximum number of ordered pairs of (m,n) for every m, n is a natural number.

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None of these

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Solution

The correct option is A 4
Given, m + n = mn -5
After rearranging the above expression, we get (m-1) (n - 1) = 6
Now, Number of factors of $6 = 2 \times 2 = 4$
Hence, a maximum of 4 ordered pairs are possible.

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