   SEARCH HOME Math Central Quandaries & Queries  Question from Martha, a teacher: A1 2 3 B 5 6 7 C 9 10 11 D 13 14 15 USE THIS PATTERN SUGGESTED TO HELP YOU FIND THE MISSING TERMS IN THE PROBLEM BELOW: a) H _ _ _ b) R _ _ _ c) _ _ 50 _ d) _ _ _ 63 e) _ @#$where @ + # +$ = 258 Hello Martha,
Notice that all the letters correspond to numbers which are multiples of 4.

 A B C D E F G H I Etc... 0 4 8 12 16 20 24 28 32 Etc...

This means that the number which corresponds to the nth letter of the alphabet is given by 4(n - 1).

‘A’ is the first letter, thus its number is  4(1 - 1) = 4(0) = 0.

‘F’ is the sixth letter, and its number is  4(6 - 1) = 4(5) = 20.

This should help you with parts a)-d).  Part e) requires slightly more work.

We must determine which letter fills in _@#$where @ + # +$ = 258.

Well @,#,and $are consecutive numbers, so # = @ + 1 and$ = @ + 2. Thus 3@ + 3 = 258 and we can solve for @, bringing us back to a situation like in parts c) or d).

Tyler     Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.