Sunday Afternoon Maths XVI
Posted on 2014-06-08
Pocket money
When Dad gave out the pocket money, Amy received twice as much as her first brother, three times as much as the second, four times as much as the third and five times as much as the last brother. Peter complained that he had received 30p less than Tom.
Use this information to find all the possible amounts of money that Amy could have received.
Always a multiple?
Source: nrich
Take a two digit number. Reverse the digits and add the result to your original number. Your answer is multiple of 11.
Prove that the answer will be a multiple of 11 for any starting number.
Will this work with three digit numbers? Four digit numbers? \(n\) digit numbers?
If you enjoyed these puzzles, check out Advent calendar 2023,
puzzles about sets, or a random puzzle.
puzzles about sets, or a random puzzle.