Answer:
10, 12 and 14
Step-by-step explanation:
x - an integer
2x - an even integer (the first and the smaller of the three)
Consecutive integers increase always by 2
2x+2 - next even integer consecutive to 2x (the middle one)
2x+2+2=2x+4 - the last consecutive even integer (the largest)
2•(2x+2) - twice the middle number
2x+2•(2x+2) - the sum of the smallest number and twice the middle one
2x+4+20 - 20 more than the largest number
2x+2•(2x+2) = 2x+4+20
2x + 4x + 4 = 2x + 24
-2x -2x
4x + 4 = 24
÷2 ÷2
2x + 2 = 12 ← the middle number
-2 -2
2x = 10 ← the smallest number
2x+4 = 10 + 4 = 14
Check: 10+2•12=34; 14+20=34
