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On every birthday of my life, my mother has seen to it that my cake contains my age in candles. Starting on my fourth birthday, I have always blown out all my candles. Before that age, I averaged a 50% total blowout rate. So far, I have blown out exactly 900 candles. How old am I



Your Answer
A

43

Correct Answer
B

42

Your Answer
C

44

Your Answer
D

45


Solution

The correct option is A

42


n(n+1)21+2+32=900:n(n+1)2=903;

n(n+1) = 1806, n = 42. 

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