Question

If you have 7 sticks of length 1, 2, 3, 4, 5, 6, and 7cm. Is it possible to make two lines of the same length with them? Can you make four lines of the same length?

Answer 1

It's possible to make 3 lines with the same length
1 + 7 = 8
2 + 6 = 8
3 + 5 = 8
Also 4 lines of the same length can be done.
7
1 + 6 = 7
2 + 5 = 7
4 + 3 = 7.

Answer 2

Answer:
It's possible to make 2 lines with the same length
3
1+2=3
It's possible to make 3 lines with the same length
4
1+3=4
It's possible to make 3 lines with the same length
5
1+4= 5
2+3=5
It's possible to make 3 lines with the same length
6
1+5=6
2+4=6
It's possible to make 3 lines with the same length
1 + 7 = 8
2 + 6 = 8
3 + 5 = 8
Also 4 lines of the same length can be done.
7
1 + 6 = 7
2 + 5 = 7
4 + 3 = 7.
It's possible to make 3 lines with the same length
2+7=9
3+6=9
4+5=9
It's possible to make 2 lines with the same length
3+7=10
4+6=10
It's possible to make 3 lines with the same length
4+7=11
5+6=11..

Answer 3

Answer:
1+6+7=2+3+4+5 or 1+2+4+7=3+5+6; 1+6=2+5=3+4=7

Answer 4

Using all sticks, you can make 2 lines of equal length. You can also make 4 lines of equal length.
The total length of the sticks is 1+2+3+4+5+6+7 = 28, so if you make 2 lines, they need to be 14 long.
This can be done with: 3 + 4 + 7 and 1 + 2 + 5 +6
.
If you make 4 line, they need to be 28/4 = 7 long
Thus: 1 + 6 and 2 + 5 and 3 + 4 and 7.