Find all pairs of consecutive odd natural num | vedclass

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(A) Let $x$ be the smaller of the two consecutive odd natural numbers,so the other one is $x+2$.According to the problem:$x > 10$  $(1)$$x + (x + 2) <

Vedclass · Accepted Answer

$(11, 13), (13, 15), (15, 17), (17, 19)$

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(A) Let $x$ be the smaller of the two consecutive odd natural numbers,so the other one is $x+2$.According to the problem:$x > 10$  $(1)$$x + (x + 2) Solving $(2)$:$2x + 2 $2x $x From $(1)$ and $(3)$,we have $10 Since $x$ is an odd natural number,the possible values for $x$ are $11, 13, 15, 17$.Thus,the pairs $(x, x+2)$ are:$(11, 13), (13, 15), (15, 17), (17, 19)$.

Find all pairs of consecutive odd natural numbers,both of which are larger than $10$,such that their sum is less than $40$.

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