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

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Answer 1 · 2016-05-07T07:37:35

13, 15, 17, 19

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