SOLUTION: the sum of the digits of a 2-digit number is 10. if the digits are reversed the new number exceeds the original number by 36. find the original number.
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Question 266176: the sum of the digits of a 2-digit number is 10. if the digits are reversed the new number exceeds the original number by 36. find the original number.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Reversing the digits of a 2 digit numbers changes the number by 9 times the difference between the digits.
---------------
U + T = 10
U - T = 4 (36/9)
---------- Add
2U = 14
U = 7
T = 3
------
--> 37
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