Question

The sum of three consecutive even numbers is 30. Find the numbers. 3.} The sum of three consecutive odd numbers is 63. Find the numbers 4.} The sum of two twin primes is 60. Find the two prime numbers.

Answer 1

Answer:

1) Let the first even no. be 'x'.

x + (x+2) + (x+4) = 30   [every even no. diff is 2]

3x + 6 = 30

3x = 30 - 6

3x = 24

x = 24/3

x = 8

2) Let the first odd number be 'x'.

x + (x+2) (x+4) = 63     [every odd no. diff is 2]

3x + 6 = 63

3x = 63 - 6

3x = 57

x = 19