Question

The sum of 4 consecutive odd numbers is 64 find the prime numbers out of these

Answer 1

Answer:

$\huge \bold{solution}$

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

Answer 2

Answer:

x+x+2+x+4+x+6=64

4x=64-12

4x=52

x=13

so the odd numbers are:

13,15,17,19

therefore out these the prime numbers are:13,17and 19

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