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
Algebra.Com
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) (Show Source): You can put this solution on YOUR website!
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:
\ +\ x\ =\ 20x\ +\ x\ =\ 21x)
Reversing the digits, we get
\ +\ 2x\ =\ 10x\ +\ 2x\ =\ 12x)
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
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