Question

The sum of four consecutive odd numbers is 64.

Let x be the smallest of the numbers. Form an equation and solve it for x

Answer 1

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