Find 3 consecutive numbers that equal 45

14, 15, 16

Step-by-step explanation:

Let n, n+1, n+2 be the consecutive numbers

n + n+1 + n+2 = 45

3n + 3 = 45

3n = 42

n = 14

14, 14+1, 14+2

14, 15, 16

14,15,16

Step-by-step explanation:

Let x be the first number

Consecutive means in a row

x+1 is the second number

x+2 is the third number

x + x+1 + x+2 = 45

Combine like terms

3x+3 = 45

Subtract 3 from each side

3x+3-3=45-3

3x = 42

Divide each side by 3

3x/3 = 42/3

x = 14

The first number is 14

The second number is 14+1 = 15

The third number is 14+2 = 16