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KCC's Quizzes AQQ231 about Birthdays and Cake Candles

Mary celebrates her birthday every year from the very first year.

The number of candles on her cake used reflects her age : 1 at age of 1, 2 at age of 2, 3 at age of 3 etc…

Up to now, she has blow out a total of 946 candles.

Questions:

  1. How old is Mary today?
  2. In an other family, there are 2 sisters, Ann and Helen. Helen is 5 years younger than Ann. They both follows the same scenario for the candles as Mary. The cumulated candled used by the 2 sisters is 1687. How old are Ann and Helen?

P.S. If you think there are still colleagues or friends (internal or external) you think who can be interested in those quizzes, please let let them know....

Kuo-Chang



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[edited by: emassa at 1:54 PM (GMT -4) on 29 Mar 2023]
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  • 1. Mary is 43 years old.
    2. Ann is 43 years old and Helen is 38 years old.
    The result can be easily found using Excel:

    Age Candles
    Mary/Ann Helen Mary /Ann Helen Ann+Helen
    1 1
    2 3
    3 6
    4 10
    5 15
    6 1 21 1 22
    7 2 28 3 31
    ... ... ... ... ...
    39 34 780 595 1375
    40 35 820 630 1450
    41 36 861 666 1527
    42 37 903 703 1606
    43 38 946 741 1687
    44 39 990 780 1770
    45 40 1035 820 1855
    46 41 1081 861 1942
  • Guten Tag Roland! Yes, as already said to Fons: any method is valid as long as the answer is correct!

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