Find all pairs of consecutive even positive i | vedclass

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Question

(A) Let $x$ be the smaller of the two consecutive even positive integers.Then,the other integer is $x + 2$.Since both integers are larger than $5$,we

Vedclass · Accepted Answer

$(6, 8), (8, 10), (10, 12)$

Vedclass · Answer

(A) Let $x$ be the smaller of the two consecutive even positive integers.Then,the other integer is $x + 2$.Since both integers are larger than $5$,we have $x > 5$ $(1)$.Also,the sum of the two integers is less than $23$,so $x + (x + 2) $2x + 2 $2x $x From $(1)$ and $(2)$,we obtain $5 Since $x$ is an even number,$x$ can take the values $6, 8,$ and $10$.Thus,the required possible pairs are $(6, 8), (8, 10),$ and $(10, 12)$.

Find all 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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