Question
Class 11MathematicsLinear Inequalities

Find all pairs of consecutive even positive integers, both of which are larger than 8, such that their sum is less than 25.

 

Verified Answer

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

Given: x > 8 and (x + (x + 2)) < 25

⇒ 2x + 2 < 25

⇒ 2x < 23

⇒ x < 11.5

Since x is an even integer greater than 8, possible values are 10.

∴ The pair is (10, 12).