Delta-K,  Problem Solving,  Volume 4, Issue 2

SOME PUZZLES TO PONDER

Journal of the Mathematics Council of the Alberta Teachers’ Association

Volume 4 Issue 2, April 1965

16

SOME PUZZLES TO PONDER

Editors W. F. Coulson and T. P. Atkinson

  1. The number 45 is the sum of four different numbers so chosen that
    if you subtract 2 from the first, add 2 to the second, multiply the
    third by 2 and divide the fourth by 2, you get the same number each
    time. What are the four different numbers?
  2. If you had the opportunity of accepting a position for five years, which of the following contracts for payment of salary would I you prefer: (a) a starting salary of $5, 000 per year with an increase of $1, 000 per year after each year. (b) a starting salary of $5 ,000 per year with an increase of $250 per year after each 6 months. Assume payments to be made at the end of each six month period.