SOLUTION: the tens digit of a two number is twice the units digit . if the digits are reversed and the result is doubled, the final result is 9 more than the original . find the number

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Question 910345: the tens digit of a two number is twice the units digit . if the digits are reversed and the result is doubled, the final result is 9 more than the original . find the number
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the ones digit of the original number. Then represents the tens digit of the original number, and the original number is formed by:



Reversing the digits, we get



Doubling the number with the reversed digits gives us:



And this is the same as the original number plus 9. "The same as" lets us form an equation:







So the original number is .

Check the answer: Reverse the digits to get 36. Double 36 to get 72, which is 9 more than the original 63.

John

My calculator said it, I believe it, that settles it