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Question 679040: I am a number between 1 and 10. My tenth is 2 less than my ones digit, my hundredth digit is the sum of my ones and tenths digit, my thousandth digit is 1 more than my hundredth digit. What number can I be?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I am a number between 1 and 10. My tenth is 2 less than my ones digit, my hundredth digit is the sum of my ones and tenths digit, my thousandth digit is 1 more than my hundredth digit. What number can I be?
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Original Number: n*10^0 + t/10 + h/100 + s/1000
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Equations:
t = n-2
h = n+t
s = h + 1
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Substitute to get:
h = n+n-2 = 2n-2
s = 2n-2+1 = 2n-1
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1 < n + t/10 + h/100 + s/1000 < 10
1 < n + (n-2)/10 + (2n-2)/100 + (2n-1)/1000 < 10
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1000 < 1000n + 100n-200 + 20n-20 + 2n-1 < 10000
1000 < 1122n-221 < 10000
1221 < 1122n < 10221
1.098 < n < 9.11
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That's about all I can get out of your posting.
Cheers,
Stan H.
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