Find all pairs of consecutive odd positive integers both of which are smaller than 10 such that their sum is more than 11.
Let us assume x be the smaller of the two consecutive odd positive integers
∴ Other integer = x + 2
It is also given in the question that, both the integers are smaller than 10
∴ x + 2 < 10
x < 8 (i)
Also, it is given in the question that sum off two integers is more than 11
∴ x + (x + 2) > 11
2x + 2 > 11
x > 4.5 (ii)
Thus, from (i) and (ii) we have x is an odd integer and it can take values 5 and 7
Hence, possible pairs are (5, 7) and (7, 9)