SOLUTION: A two digit number and the reulting number when the digits are reversed are in the ratio 2:9.If the sum of the digits is 9,Find the original number.

Question 729530: A two digit number and the reulting number when the digits are reversed are in the ratio 2:9.If the sum of the digits is 9,Find the original number.
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
Let this two digit number be .
The digit reversal of the number would be .

The ratio as stated gives the proportion, .
The sum of the digits being 9 means .

Now that the conversion into symbolism and equations has been made, most of the problem, the harder part, is solved. Merely solve the resulting system for x and y.
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