Question

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

Answer 1

Let x and x + 2 be the required pairs of consecutive even positive integers.

Given: x > 5 x + x + 2 < 23

⇒ 2x < 21

⇒ x < 10.5

∴ 5 < x < 10.5 x = 6, 8, 10

∴ Required possible pairs are (6, 8), (8, 10), (10,12)