SOLUTION: The sum of the digits of a two digit number is 10. If the digits are reversed,the new number is 36 less than the original number,Find the original number

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Question 1138063: The sum of the digits of a two digit number is 10. If the digits are reversed,the new number is 36 less than the original number,Find the original number
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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t, the tens digit
u, the units or ones digit
system%28t%2Bu=10%2Ct-u=4%29

highlight%2873%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The difference between the 2-digit number AB and the2-digit number BA is 9 times the difference between the two digits A and B.

Since in this problem the difference between AB and BA is 36, the difference between A and B is 4.

Then with the difference between A and B being 4 and their sum being 10, it is easy to see the the two digits are 7 and 3.

Then you just need to read the problem to see that the number with the digits reversed is smaller; so the original number is 73.