SOLUTION: find a three digit number such that if the digits at the tens place and the hundred place are reversed then the number obtained is twenty percent greater than the original number
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Question 316464: find a three digit number such that if the digits at the tens place and the hundred place are reversed then the number obtained is twenty percent greater than the original number Answer by Fombitz(32388) (Show Source):
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a,b,c must all be integers.
a,b must be between 1 and 9.
c must be between 0 and 9.
Since c must be positive or zero,
Since a must take on integer values, then
Let } when and then
Let's look at other values,
Let when but then
So that solution is not valid.
No other solutions exist because
would not have a solution in the valid ranges for a,b, and c.
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The original number is 450 and the new number is 540.
