Q. 244.1( 64 Votes )

Find all pairs of

Answer :

Let us assume x be the smaller of the two consecutive even positive integers

Other integer = x + 2


It is also given in the question that, both the integers are larger than 5


x > 5   ....(i)


Also, it is given in the question that the sum of two integers is less than 23.


x + (x + 2) < 23


2x + 2 < 23



x < 10.5   .... (ii)


Thus, from (i) and (ii) we have x is an even number and it can take values 6, 8 and 10


Hence, possible pairs are (6, 8), (8, 10) and (10, 12).

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