Question

1.The sum of three consecutive numbers minus 12 is 75

2. The Sum of two consecutive odd numbers plus eighteen is 170

Answer 1

The answer is

One: 28, 29, 30

Two: 75,77

Explanation:

One

Let the three numbers be (x - 1) , x , and x + 1

(x - 1) + x + (x +1 ) - 12 = 75 Remove the brackets

x - 1 + x + x + 1 - 12 = 75 Combine the like terms on the left

3x - 12 = 75 Add 12 to both sides

3x = 75 + 12

3x = 87 Divide by 3

x = 87/3

x = 29

Two

Let the first odd number = 2x -1

Let the second odd number = 2x + 1

2x - 1 + 2x + 1 + 18 = 170 Combine like terms on the left.

4x + 18 = 170 Subtract 18 from both sides.

4x = 170 - 18 Combine like terms on the right

4x = 152 Divide by 4

4x/4 = 152/4

x = 38

2 * 38 - 1 = 75

2 * 38 + 1 = 77