Brain Teasers
Troubling Doubling at School
Read the little poem and answer its question if you can.
The number of girls who do wear a watch
is double the number who don't.
But the number of boys who do not wear a watch
is double the number who do.
If I tell you the number of girls in my class
is double the number of boys,
Can you tell me the number I teach? Here's a clue:
More than 20; below 32!
The number of girls who do wear a watch
is double the number who don't.
But the number of boys who do not wear a watch
is double the number who do.
If I tell you the number of girls in my class
is double the number of boys,
Can you tell me the number I teach? Here's a clue:
More than 20; below 32!
Hint
The sum of number plus its double must be a multiple of 3.Answer
27Solution:
The number of boys must be a multiple of 3 (3, 6, 9...) so that it can be split in the ratio of 2:1 (no watch:watch).
The number of girls is double the no. of boys (6, 12, 18...)
So the totals can only be 9, 18, 27...
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