# DAY 163:

Today’s Challenge

The concept behind this challenge is similar to my MATHELONA number puzzles, so please feel free to click the link for details of my popular pocket book of challenges.

Replace all 15 ◯’s below with the numbers 1-15, once each, so all five lines work out:

◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯
◯   +   ◯   =   ◯

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 4th & 6th rows contain the following fourteen numbers:

3    5    10    12    18    20    32    33    35    44    49    54    56    60

What is the sum of the consecutive numbers listed?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 4th & 6th rows contain the following fourteen numbers:

3    5    10    12    18    20    32    33    35    44    49    54    56    60

How many pairs of numbers have a difference of 12?