Find three consecutive integers whose sum is - 21. 2. find three consecutive odd integers whose sum is 144. 3. the sum of three consecutive even integers is 48. what are the numbers?

Easy way

-21:3=-7 which is the exact center so

-6, - 7, - 8

Equation

x + (x+1) + (x+2) = - 21

3x + 3 = - 21

3x=-24

x=-8

x+1=-7

x+2=-6

2. Consecutive Odd Integers

X, X+2, X+4

X + (X+2) + (X+4) = 144

3X+6=144

3X=144-6=138

X = 138/3 = 46 ... There are no 3 odd Integers that can equal an even integer

3. 3 consecutive even number x, x+2, x+4

X + (X+2) + (X+4) = 48

3X+6=48

3X=48-6=42

X=42/3=14

14, 16, 18