Question

14 numbers are written in a row so that the sum of any three consecutive numbers is 19, and that the sum of all the numbers is 77. Find the 9th number.

Answer 1

Explanation:

The series of numbers that meets the

requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.

How to check that the series meets the requirements?

To verify that the series meets the requirements, we must establish what the requirements are:

●Every 3 consecutive numbers must add up to 19.

●In total there must be 14 numbers.

●The total sum of all the numbers must be 77

To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.

5 + 6 + 8 = 19

9 + 4 + 6 = 19

7 + 3 + 9 = 19

2 + 8 + 9 = 19

In total there must be 14 numbers and they must add up to 77.

5+6+8+9+4+6+7+3+9+2+8+9+1 = 77