The Number | 26 Sep 2009
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Go4Expert Founder
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| 26Sep2009,15:55 | #1 |
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Find the number which when added to any other number does not change the sum of its digit to ultimately single digit.
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~ Б0ЯИ Τ0 С0δЭ ~
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| 26Sep2009,17:38 | #2 |
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It must be 9.
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Invasive contributor
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| 26Sep2009,19:30 | #3 |
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9 and 0 both
123 + 9 = 132 ...... 1+2+3 = 1+3+2 = 6 123 + 0 = 123 ...... 1+2+3 = 6 |
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Go4Expert Founder
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| 27Sep2009,11:12 | #4 |
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9
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Mentor
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| 27Sep2009,19:11 | #5 |
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Any number of 9s will do the trick, so 99 (+100-1), 999 (+1000-1) etc will all work
198 will also work (200-2), as will 297 (300-3) and any "extension" (400-4, 500-5 etc, and 3000-3, 30000-3, etc). In short, the answer is any number of the form x*10^y-x. nimesh is also correct because y=0. x doesn't have to be less than 10; 125000-125 will also work for example (as will 1125: try it!).
nimesh, SaswatPadhi
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Invasive contributor
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| 27Sep2009,21:23 | #6 |
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nice answer XPT
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