3. This clock has been broken into three pieces. If you add the numbers in each piece, the sums are consecutive numbers ("consecutive numbers" are whole numbers that appear one after the other, such as 1, 2, 3, 4 or 14, 15, 16). 12 10 9 8 11 7 1 5 2 3 4 6 Can you break the clock into a different number of pieces so that the sums are consecutive numbers? Assume that each piece has at least two numbers and that no number is damaged (e.g. 12 isn't split into two digits 1 and 2).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. This clock has been broken into three pieces. If you add the numbers in each piece,
the sums are consecutive numbers ("consecutive numbers" are whole numbers that
appear one after the other, such as 1, 2, 3, 4 or 14, 15, 16).
12
10
9
8
11
7
1
2
3
4
5
6
Can you break the clock into a different number of pieces so that the sums are
consecutive numbers? Assume that each piece has at least two numbers and that no
number is damaged (e.g. 12 isn't split into two digits 1 and 2).
Transcribed Image Text:3. This clock has been broken into three pieces. If you add the numbers in each piece, the sums are consecutive numbers ("consecutive numbers" are whole numbers that appear one after the other, such as 1, 2, 3, 4 or 14, 15, 16). 12 10 9 8 11 7 1 2 3 4 5 6 Can you break the clock into a different number of pieces so that the sums are consecutive numbers? Assume that each piece has at least two numbers and that no number is damaged (e.g. 12 isn't split into two digits 1 and 2).
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