Question

Find three consecutive even integers such that the sum of the smallest integer and twice the median is 20 more than the largest integer

Answer 1

Let x, x+2 & x+4 be the 3 integers.

x + 2 (x+2)= (x+4)+20

x + 2x + 4 = x + 4 + 20

3x + 4 = x + 24

3x - x = 24 - 4

2x = 20

x = 20/1

x=10 ans. for the smallest integer.

10 + 2 = 12 for the middle integer.
10 + 4 = 14 ans. for the largest integer.

To check:
10 + 2*12 = 14 + 20
10 + 24 = 34
34 = 34