Q. 234.0( 67 Votes )

Find all pairs of

Answer :

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)


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