Three men, Alan, Brian, Charles and their respective wives, Ada, Betty and Cathy, were hunting in deepest Peru, when they came across a large river.
Luckily there was one boat, however, it could only carry two people at the same time.
Due to bitter jealousy, no woman could be left with another man unless her husband was present.
How did they manage to cross the river?
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Hint: Alan and Ada could cross first.
Alan and Ada cross and Alan returns.
Betty and Cathy cross and Ada returns.
Brian and Charles cross and Brian and Betty return.
Alan and Brian cross and Cathy returns.
Ada and Betty cross and Charles returns.
Charles and Cathy make the final crossing.
Can you draw the following without lifting your pen from the paper, or going over the same line twice, or crossing any line?
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I have three children.
One is the same age as the first number in my age, another is the same age as the second number in my age, and the third is the same age as the sum of the two numbers in my age.
None of the children are the same age and the total of our ages is 45. How old am I?
As my children are different ages, the lowest they could be is 1, 2, 3, and as our ages add to 45 this would make me 39. Working backwards the only answer to make the sum correct is 27 + 2 + 7 + 9 = 45.
Alternatively, we could use algebra and say that I am 10A + B years of age. My children are A, B and A+B years of age. Our ages add to 45, so:
10A + B + A + B + A+B = 45
Collecting like terms together gives:
12A + 3B = 45
Dividing throughout by 3 gives:
4A + B = 15
If A = 1 then B would be 11, which makes no sense for an age. If A = 2 then B = 7 and as all values that work give us a correct answer. So I am 27.
Note how A = 3 would make B = 3, which isn't allowed. And A > 3 will take us past 15, so there can be no other solutions.
Geoff and I were playing on the roundabout at the local park.
It was very large and we stood on opposite sides and we spun the roundabout anti-clockwise.
I then threw a ball at Geoff.
Did the ball go to Geoff, or did it go to the right of him or the left of him?
A roundabout is similar to a merry-go-round or carousel, but smaller.
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Hint: Try to picture a moving roundabout in your mind.
Since the roundabout moved while the ball was travelling to Geoff, the ball went to the right of him (i.e. his left).