PUZZLE 16: 24th-30th May (to be e-mailed by the 31st May)
POSTED BY IES CAMPANAR
A NUMEROUS FAMILY
The product of my sons’ ages is 1664. The age of the eldest is the double of my youngest son’s age. I am 50 years old myself.How many sons have I got?How old are they?
SOLUTION
The factorial decomposition of 1664 is the product of 13 x 2 with exponent 7. Since 13 can be neither the youngest nor the eldest son, the solution is 2 with exponent 3 = 8, 13, and 2 with exponent 4 = 16. Therefore the three sons are: 8, 13 and 16 years old.
Monday 24 May 2010
Monday 10 May 2010
FORTNIGHT'S PUZZLE 15
PUZZLE 15: 10th-16th May (to be e-mailed by the 17th May)
POSTED BY IES CAMPANAR
AT THE CIRCUS
The most experienced trainer of a circus needs 40 minutes to wash an elephant, his son doing the same task in 2 hours. How long will it take them both to wash 4 elephants? How many elephants will each of them wash?
SOLUTION TO PUZZLE 2
In two hours the son washes one elephant while his father washes 120:40 =3 elephants in the same period of time.
Thus it takes them 2 hours to wash 4 elephants since the son washes 1 while his father washes 3.
POSTED BY IES CAMPANAR
AT THE CIRCUS
The most experienced trainer of a circus needs 40 minutes to wash an elephant, his son doing the same task in 2 hours. How long will it take them both to wash 4 elephants? How many elephants will each of them wash?
SOLUTION TO PUZZLE 2
In two hours the son washes one elephant while his father washes 120:40 =3 elephants in the same period of time.
Thus it takes them 2 hours to wash 4 elephants since the son washes 1 while his father washes 3.
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