## Sum of 22

Fill in numbers such that the sum of each 3-character row is 22 while the sum of all five numbers is 30.

a | ||

b | c | d |

e |

The problem works out to a set of three equations:

b + c + d = 22

a + c + e = 22

a + b + c + d + e = 30

Solving for c = 14, leaving d = 8 – b and e = 8 – a. In other words, c must be 14, but the other two numbers just have to add up to 8. The requirement that they be unique rules out 4 + 4, so you’re left to choose from the following combations for b + d and a + e:

0 + 8

1 + 7

2 + 6

3 + 5

Posted in Brain Teasers

No Comments on "Sum of 22"No comments yet.

Leave a comment