SOLUTION: the sum of the digits of a two digit number is twice the units digit.. if the digits of the number are reversed, the new number is 54 more than the original number. Find the number

Question 753960: the sum of the digits of a two digit number is twice the units digit.. if the digits of the number are reversed, the new number is 54 more than the original number. Find the number. Help!
Found 2 solutions by MathTherapy, solver91311:
Answer by MathTherapy(10553) (Show Source): You can put this solution on YOUR website!

the sum of the digits of a two digit number is twice the units digit.. if the digits of the number are reversed, the new number is 54 more than the original number. Find the number. Help!

Something is wrong here. If the sum of the 2 digits is twice the units digit, it follows that both the tens and units digits are the same. Having said that, they are NOT unique numbers, and can never satisfy the other clue that's provided.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Not possible. If the sum of the digits is twice the units digit, then the digits must be the same. If the digits are the same, there is zero difference when you reverse the digits -- a difference of 54 is not possible.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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