SOLUTION: The units digit of a two-digit number is one more than twice the tens digit. When the digits are reversed, the new number is 2 more than twice the original number. What is the orig

Question 1107935: The units digit of a two-digit number is one more than twice the tens digit. When the digits are reversed, the new number is 2 more than twice the original number. What is the original number?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
let u be units and t be tens
:
u = 2t + 1
:
the original number is represented as
:
10t + 2t + 1
:
10(2t+1) + t = 2(10t + 2t + 1) + 2
:
20t +10 + t = 20t + 4t +2 +2
:
3t = 6
:
t = 2
u = 2(2) + 1 = 5
:
original number is 25
:
check answer
:
52 = 2(25) + 2
:
52 = 52
:
our answer checks
:

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