SOLUTION: (If possible please answer this with 1 variable if not it is ok) The units digit of a three digit number is one more than twice the tens digit while the tens digit is twice that o

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Question 825501: (If possible please answer this with 1 variable if not it is ok)
The units digit of a three digit number is one more than twice the tens digit while the tens digit is twice that of the hundreds digit.If the hundreds digit and the unit digit are interchanged, the number formed is 21 more than four times the original number. Find the number
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= hundreds digit.
Since the tens digit is twice the hundreds digit,
2x= tens digit.
Since the units digit is one more than twice the tens digit,
2%282x%29%2B1=4x%2B1= units digit.
The value of the original three digit number is
100x%2B10%282x%29%2B4x%2B1=100x%2B20x%2B4x%2B1=124x%2B1 .
If the hundreds digit and the unit digit are interchanged, the value of the new number formed is
100%284x%2B1%29%2B10%282x%29%2Bx=400x%2B100%2B20x%2Bx=421x%2B100
The new number is 21 more than four times the original number means
421x%2B100=4%28124x%2B1%29%2B21
421x%2B100=496x%2B4%2B21
421x%2B100=496x%2B25
421x%2B100-25=496x
421x%2B75=496x
75=496x-421x
75=75x
75%2F75=x
highlight%28x=1%29
So,
2x=2%2A1=highlight%282%29= tens digit, and
4x%2B1=4%2A1%2B1=4%2B1=highlight%285%29= units digit.
The original number is highlight%28125%29
Reversing the digits you get 521 , and
4%2A125%2B21=500%2B21=521 .