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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]
Parents
• 1. n(n+1)/2=946 --> n=43 (sum of first consecutive integers)

2. If m is the age of Ann, the age of Helen is m-5. So m(m+1)/2 + (m-5)(m-4)/2 = 1687. By solving the equation you get m= 43, so Anne is 43 and Helen is 38.