# DAY 240:

Today’s Challenge

Following on from DAY 187, here’s another one of the unique Keith Number challenges. This was made famous by Mike Keith and if you like playing around with numbers, you’ll love having a go at this fun concept.

The 1st 2-digit Keith Number14, is worked out by following a pattern:

• 1+4=5; 4+5=9; 5+9=14 (the total arrives back to the original number).

The 2nd 2-digit Keith Number19, is worked out in a similar way:

• 1+9=10; 9+10=19 (again, the total arrives back to the original number).

By following this Fibonacci-style pattern, find the 3rd and 4th 2-digit Keith Numbers.

(Hint: both are less than 50)

The 7puzzle Challenge

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

The 3rd & 6th rows of the playing board contain the following fourteen numbers:

5    12    13    18    20    25    33    36    42    45    49    56    66    80

Can you find three different numbers listed that add up to exactly 100?

Make 240 Challenge

Can you arrive at 240 by inserting 1, 2, 3, 4 and 5 into the gaps below?

◯²×◯×◯×(◯–◯) = 240