Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.

Explanation

Let x be the smaller of the two consecutive even positive integers .
Let x be the smaller of the two consecutive even positive integers .
Then the other integer is x+2.

Since both the integers are larger than 5,x>5 ....(1)
Also the sum of the two integers is less than 23.

x+(x+2)<23

⇒2x+2<23

⇒2x<23−2

⇒2x<21

...