Question

the greatest of four consecutive even integers is 14 less than twice the smallest integer. what are the integers​

Answer 1

The four consecutive even integers are 20, 22, 24, 26

Solution:

Let the four consecutive even integers are a , a + 2, a + 4, a + 6

Let "a" be the smallest integer and "a + 6" be the largest integer

To find: the four consecutive even integers

Given that the greatest of four consecutive even integers is 14 less than twice the smallest integer

largest integer = twice the smallest integer - 14

a + 6 = 2(a) - 14

a + 6 = 2a - 14

a - 2a = -14 - 6

-a = -20

a = 20

Thus the four consecutive even integers are:

a = 20

a + 2 = 20 + 2 = 22

a + 4 = 20 + 4 = 24

a + 6 = 20 + 6 = 26

Thus the four consecutive even integers are 20, 22, 24, 26