Question 1036722: The sum of a two digit number and the number obtained by inter changing the digits is ______ times the sum of their digits. Found 2 solutions by Alan3354, MathTherapy:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The sum of a two digit number and the number obtained by inter changing the digits is ______ times the sum of their digits.
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Try it.
eg, 14 + 41 = 55
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BTW, the difference is 9 times the difference between the digits.
41 - 14 = 27
Let the number of times, the tens, and the units digits be, N, T and U, respectively
Then we have: 10T + U + 10U + T = N(T + U)
11T + 11U = N(T + U)
11(T + U) = N(T + U)
11 = N
The sum of a two digit number and the number obtained by inter changing the digits is times the sum of their digits.
