SOLUTION: the unit's digit of a two digit number is twice the tens digit. if the digits of the number are reversed, the resulting number would be six less than twice the original number. fin

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Question 936950: the unit's digit of a two digit number is twice the tens digit. if the digits of the number are reversed, the resulting number would be six less than twice the original number. find the numbers.?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
For the number AB
Equation 1: B+=+2A
Equation 2: 2%2A%2810A+%2B+B%29+=+10B+%2B+A+%2B+6
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Note that equation 1 is already solved for B
Plug 2A into equation 2 for B
Equation 2: 2%2A%2810A+%2B+B%29+=+10B+%2B+A+%2B+6
2%2A%2810A+%2B+%282A%29%29+=+10%2A%282A%29+%2B+A+%2B+6
Simplify
20A+%2B+4A+=+20A+%2B+A+%2B+6
Combine like terms.
24A+=+21A+%2B+6
Subtract 21A from both sides.
3A+=+6
Divide both sides by 2.
highlight%28A+=+2%29
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Now plug 2 into equation 1 for A
Equation 1: B+=+2A
B+=+2%2A%282%29
highlight_green%28B+=+4%29
The number is 24