'How old are you...' Alex asked his cousin Gustav one day. 'The day before yesterday,' replied Gustav, 'I was twice as old as my sister, but next year I will be three times as old as she is now.' How old is Gustav, When is his birthday, On what day did this conversation take place, How old is Gustav's sister?

Senior Moments

The discussion took place on 31st December which was Gustav's fifth birthday. The day before he was four and his sister was two. Next year on the 31st of december he will be six and three times as old as his sister is now Nov 01 02, 7:34 AM

Kainantu

You have a valid point Senior Moments. Gustav is a child genius. He is 2 years old. His birthday is 1 January * The conversation took place on 31 December Gustav's sister is 1 year old 'The day before yesterday,' replied Gustav, 'I was twice as old as my sister' Gustav is 2 years old. Sister is 1 years old .( Date 29th December ) Yesterday Gustav is still 2 years old ( 30 December ) Today Gustav is still 2 years old ( 31 December ) 'Next year I will be three times as old as she is now' Next year is January 1 which is Gustav's birthday when he will be 3 years old and his sister still 1 year old. The question is open to interpretation: * The conversation could have taken place any time in the year three days after his sister had turned 1 and before the end of the year while Gustav was still 2. Nov 01 02, 8:56 AM

Guru???

As the two replies have idicated there are two possible answers. Assuming that Bob has asked for a particular day it would suggest that it has to be SM's answer as that only allows one possible day for this discussion to have taken place. Kainantu's answer gives optional dates. Which ever way it is, Gustav is quite a bright kid what ever his age. Nov 01 02, 9:14 AM

Bryce

This conversation took place on January 1. On that day, Gustav was 7 years old. His birthday is December 31. His sister was then 3 years old. Nov 01 02, 11:39 AM

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A man was telling me on a particular occasion, 'The day before yesterday I was 35 years old and next year I will turn 38.' How can this be? 'How old are your three daughters' Fred asks a friend one day. 'The product of their ages is 36,' replied his friend. 'You are not giving me enough information,' protested Fred. 'The sum of their ages is the age of your oldest son.' 'I still need more information.' 'All right, then. I can tell you that the oldest daughter, who is at least a year older than the other two, is a very fine pianist.' 'Ah! Now I know how old your daughters are.' What are the ages of Fred's friend's daughters? When added together, the ages of Josephine and her sister Constance come to 30. In 14 years' time, Josephine will be three times as old as Constance is today. How old are Constance and Josephine? The average 4 year old does this over 300 times a day?

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