the sum of three consecutive odd numbers is 51

Question

the sum of three consecutive odd numbers is 51 find the numbers i need help i hope someone can answer my question

Answer 1

x, x+2, and x+4 are the numbers where x=odd integer

x+(x+2)+(x+4)=51

3x+6=51

3x=51-6

3x=45

x=45/3

x=15, x+2=17, x+4=19

also you can do the following...

51/3=17, 17-2=15 and 17+2=19

Answer 2

Consecutive odd integers are separated by 2.  The 3 consecutive odd integers are

 

n

n + 2

(n + 2) + 2 = n + 4

 

Given:

 

n + (n + 2) + (n + 4) = 51

 

3n + 6 = 51

 

n = (51 - 6)/3 = 15

n + 2 = 15 + 2 = 17

n + 4 = 15 + 4 = 19

 

Test the answers.