SOLUTION: When the digits of a two digit number are reversed, the resulting number is 54 less than the original number. The tens digit of the original number 4 times the units digits. What i

Algebra ->  Inverses -> SOLUTION: When the digits of a two digit number are reversed, the resulting number is 54 less than the original number. The tens digit of the original number 4 times the units digits. What i      Log On


   

Question 1044350: When the digits of a two digit number are reversed, the resulting number is 54 less than the original number. The tens digit of the original number 4 times the units digits. What is the original number?
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
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Original Number,10t%2Bu
Reversed Digits Number,t%2B10u
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system%28%28t%2B10u%29-%2810t%2Bu%29=54%2Ct=4u%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
When the digits of a two digit number are reversed, the resulting number is 54 less than the original number. The tens digit of the original number 4 times the units digits. What is the original number?
Original number: highlight_green%2882%29

To set up the equation to solve this, be reminded that:

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
From the condition, you have only two options for your number: 41 and 82.

It is easier to check these two numbers, than to write and to solve the system of equations.

The result will be the same. If the condition is correct, of course.