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

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Solution

Let one number is $x$ and another number is $x + 2$ that are consecutive even numbers greater than $5$ then according to the given condition-

$x + x + 2 < 23$
$2 x + 2 < 23$
$x = 10.5$

Hence, the pair of numbers are $(6, 8), (8, 10), (10, 12) .$

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