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)   (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 digit.
Twice the original number is 12 more than number in reversed order.
Question states***CENTS makes sense

3x = 12
x = 4, ten's digit, the one's digit is 8
and...

Answer by nerdybill(7384)   (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

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