Question

Find the positive integers p and q such that :

`[p   q][p/q]= [25]`

Answer 1

`[p   q][p/q]= [25]`

 `[p^2   q^2][p/q]= [25]`

`∴p^2 +q^2 = 25`

Since, p and q are positive integers, and (3)² + (4)² = 9 + 16 = 25. Hence, p = 3 and q = 4 or p = 4 and q = 3