A three digit number consists of 9, 5 and one more number.
When these digits are reversed and then subtracted from the original number the
answer yielded will be consisting of the same digits arranged yet in a
different order. What is the other digit?
Answer: 4. Let
the digit unknown be n.
The given numbers is then 900+ 50 + n = 950 + n
When reversed the new number is 100n + 50 +9 =59 + 100n.
Subtracting these two numbers us get891 – 99n.
The digits can be arranged in 3 ways or 6 ways.
We have already investigated 2 of these ways.
We can now try one of the remaining 4 ways. One of these is
n 95
100n + 90+ 5 =891 -99n
Or 199n = 796
N=4
The unknown digit is 4.
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