Find three even integers

Question

 Find three consecutive even integers, such that 7 times of first integers Is 14 more than the sum of second and third integer

Answer 1

Consecutive even integers are separated by 2:

n, n+2, n+4

 

7n = n + 2 + n + 4 + 14

7n = 2n + 20

5n = 20

n = 4

 

4, 6, 8 are the integers

 

Check:  7(4) = 6+8+14

            28 = 28