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