Puzzle 289
Can you find a 5-digit number …
… whose digits add up to 18 and whose product is 210 and the digits increase from left to right in the number?
Puzzle Copyright © Kevin Stone
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Hint
Break down 210 into its factors.
Answer
12357.
Reasoning
Since 210 = 2 x 3 x 5 x 7, 12357 is the only way to get a 5-digit number, in ascending order.
Puzzle 290
During a recent school trip to the seaside, I sat at the rear of the bus.
I noticed a strange thing: Laura, Jesse and Wendy were all sitting on the left side of the bus.
Even more curious was the fact that Steven, John and Danielle were all sitting on the right side of the bus.
On which side was James sitting?
Puzzle Copyright © Kevin Stone
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Hint
Look at the lengths of their names.
Answer
James was sitting on the left.
Children with an even number of letters in their name sat on the right.
Puzzle 291
If I buy a melon and a coconut, the cost will be £1.19.
If I buy a melon and a pineapple, the cost will be £1.45.
If I buy a coconut and a pineapple, the cost will be £1.40.
What are the individual prices?
Puzzle Copyright © Kevin Stone
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Hint
A little algebra might help.
Answer
Pineapple = 83p, coconut = 57p, melon = 62p.
Reasoning
If we assign the letters P, C and M to the fruits, and work in pence we have:
(1) M + C = 119
(2) M + P = 145
(3) C + P = 140
Using (2) − (1) we have:
(4) P − C = 26
And (3) + (4) gives:
2P = 166
P = 83
This can then be substituted back into (2) and (3).
Puzzle 292
If Malcolm, Laura, John, Alan, Brenda and Kevin like chocolate …
… and Norman, Steve, Thomas, Zebedee do not …
… does Peter like chocolate?
Puzzle Copyright © Kevin Stone
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Hint
Think about the alphabet.
Answer
No.
Only people with initials A-M do like chocolate, others do not.
