SOLUTION: The unit's digit of a two-digit number is twice the ten's digit. Twice the original number is 12 more than number in reversed order. What is the original number?

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Question 632064: The unit's digit of a two-digit number is twice the ten's digit. Twice the original number is 12 more than number in reversed order. What is the original number?
Found 2 solutions by ewatrrr, nerdybill:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The unit's digit of a two-digit number is twice the ten's digithighlight%28x%29. 

Twice the original number is 12 more than number in reversed order.

Question states***CENTS makes sense

+2%2810%2Ax+%2B+1%2A2x%29=+%2810%2A2x+%2B+1%2Ax%29+%2B+12+

              3x = 12

               x = 4, ten's digit, the one's digit is 8 



and...

 2%2A48+=+96+=+84+%2B+12

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The unit's digit of a two-digit number is twice the ten's digit. Twice the original number is 12 more than number in reversed order. What is the original number?
.
Let t = value of ten's digit
then
2t = value of unit's digit
.
from:"Twice the original number is 12 more than number in reversed order." we get
2(10t + 2t) = 10(2t) + t + 12
2(12t) = 20t + t + 12
24t = 21t + 12
3t = 12
t = 4 (value of ten's digit)
.
value of unit's digit:
2t = 2(4) = 8
.
Answer: 48