Question

The difference between two integers is 2. The larger integer is 11 less than twice the smaller. Find the smaller integer.

Answer 1

The smaller integer (y) is 3.

Explanation:

`x - y = 2 = > y = x - 2\\ x = 2y - 11 \\ x = 2(x - 2) - 11 \\ x = 2x - 4 - 11 \\ x = 2x - 15 \\ 3x = 15 \\ x = 5 \\ \\ x - y = 2 \\ (5) - y = 2 \\ - y = - 3 \\ y = 3`

Therefore, the smaller integer, represented by y, is equal to 3.

Answer 2

y=3

Explanation:

hello :

let two integers x and y : you have the system x-y=2...(*)

x= 11 -2y ....(**)

x > y.......

calculate the smaller integer : y

use (**) now put the value of x in (*) : (11-2y) - y = 2

11-2y-y = 2

11-3y=2

-3y =-9

y=-9/-3

y=3