Western Morning News

Mindbender

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A: "I found these two tickets on the bathroom floor," said Paul. "They could be valuable."

Steve took them. "Thanks a lot, Dad, they're for our Club raffle," he replied. "But it's nothing very big, 10p each, and there are only five hundred tickets in all." "Well, I amused myself working out something on their numbers," Paul told the boy. "They're consecutiv­e and the difference between their cubes is exactly seven times the square of the number of our house." What were the ticket numbers?

B: "There are two female passengers to every three male on this bus," Linda commented. "Most times it's the other way round."

"That's right, but at the last stop no women got on – just five men got on, and nobody got off." Eve replied. "Before that, it was in fact the other way round, two male to every three female."

How many passengers?

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