Brain Teasers
101
Add plus and minus signs among the digits 1 2 3 4 5 6 7 8 9 to make the total 101. For example, 1+2+3+45+67-8-9=101. There are ten ways to do it.
Hint
Try all possible combinations of two-digit numbers and the three-digit number 123. Since there are only plus and minus signs, be aware of parity.Answer
(1)1+2+3+45+67-8-9=101(2)1+2+34+56+7-8+9=101
(3)1+2-3+4-5+6+7+89=101
(4)1+23+4+5+67-8+9=101
(5)1+23-4+5-6-7+89=101
(6)1-2+3+4+5-6+7+89=101
(7)1-2+34+5-6+78-9=101
(8)12+34+5+67-8-9=101
(9)12-3+4-5+6+78+9=101
(10)123+4+56+7-89=101
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