Question

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?

Answer 1

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