Answer:
8, 10, 12
Step-by-step explanation:
Because they are even there is a whole number x so that (1st)2x, (2nd) 2x+2, and (3rd)2x+4 are the 3 consecutive integers.
so
If the third is 8 less than twice the 2nd then:
3rd = 2 (2nd) - 8
2x + 4 = 2 (2x+2) - 8
2x + 4 = 4x + 4 - 8
2x + 4 = 4x - 4 Add 4 to each side
2x + 4 + 4 = 4x - 4 + 4
2x + 8 = 4x Subtract 2x from each side
2x - 2x + 8 = 4x - 2x
8 = 2x Divide each side by 2
8/2 = 2x/2
8/2 = x
4 = x
No we plug into our equations to find the integers.
2x = 2(4) = 8
2x + 2 = 2(4) + 2 = 8 + 2 = 10
2x + 4 = 2(4) + 4 = 8 + 4 = 12
So our integers are 8, 10, 12
