Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.
Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.
4 views
2 Answers
Solution:
Let the two consecutive even positive integers be x and x + 2.
x > 5, x + 2 > 5, x + (x + 2) < 23
x > 5, x + 2 > 5 ⇒x > 5.
2x + 2 < 23
2x < 21
x < 21/2
i.e 21/2 > x > 5
Thus, the required pairs of consecutive odd positive integers are (6, 8) and (8, 10).
4 views
Answered
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)
4 views
Answered