Question

Three times the greater of two consecutive even integers is 26 less than four times the lesser.

Find the integers.

Answer 1

-20, -18

Explanation:

let x = the smaller number

Let x + 2 = the larger number

3(x +2) -26 = 4x

3x + 6 -26 = 4x

3x -20 = 4x Subtract 3x from both sides of the equation

-20 = x

x + 2

-20 + 2 = -18

Check:

3(-20 + 2) -26= 4(-20)

3(-18) - 26 = -80

-54 -26 = -80

-80 = -80