# If the sum of four consecutive odd integers is 64, what are the integers?

##### 1 Answer

May 7, 2016

13, 15, 17, 19

#### Explanation:

Number Theory <3 :D

Let the first number be x,

given 4 consecutive numbers,

x

x+1

x+2

x+3

However, since they are odd consecutive, the numbers would be

x

x+2

x+4

x+6

Hence, the sum is given to be

x + (x+2) + (x+4) + (x+6) = 64

4 x = 52

x = 13

Hence the numbers are:

x= 13

x+2 = 15

x +4 =17 (prime number <3)

x+6 = 19