SOLUTION: Here is my question; i have tried multiple times to solve it and looked at other solutions. The ones digit of a number is 1 more than twice the tens digit. If the digits are re

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Question 915066: Here is my question; i have tried multiple times to solve it and looked at other solutions.
The ones digit of a number is 1 more than twice the tens digit. If the digits are reversed, the new number is less than 3 times the original number. What is the original number? Thank you in advance for your help, and hopefully it comes fast.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The number originally could be T*10+U, using U for the ones digit and T for the tens digit.

Translate the description.


Next part of the description needs care.
For , condition is that . (Go to NEW INFORMATION, below here.)

You have two linear equations in the unknown variables, U and T.
Simplify the second part of the description, and then you could substitute for U from the first part of the description.


A FEW STEPS ---(NO. Go to NEW INFORMATION...)





you should be able to finish solving U and T.


NEW INFORMATION:
"...the new number is 8 less than 3 times the original number."

Changes to second equation make it then, .
Either way, I had misunderstood part of the description.

The steps to start for simplifying this equation are straightforward:




-
and your other equation from first part of the description, .


This system should be uncomplicated to solve.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Here is my question; i have tried multiple times to solve it and looked at other solutions.
The ones digit of a number is 1 more than twice the tens digit. If the digits are reversed, the new number is less than 3 times the original number. What is the original number? Thank you in advance for your help, and hopefully it comes fast.

If there is a NUMBER between "is" and "less" in the sentence:
"If the digits are reversed, the new number is less than 3 times the original number?" Then
you need to provide that number!
However, if what you described above is correct, and with T being the tens digit, and
U being the units digit, the following equation and inequality can be formed:
U = 2T + 1 ------- (i)
10U + T < 3(10T + U)____10U + T < 30T + 3U____10U - 3U + T - 30T < 0
7U - 29T < 0 ----- (ii)
Based on the above, original numbers can be:


, or

You can do the check!!
===================
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