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anonymous
 4 years ago
The sum of the digits of a twodigit number is 12. When the digits are reversed, the new number is 18 less than the original number. Find the original number.
anonymous
 4 years ago
The sum of the digits of a twodigit number is 12. When the digits are reversed, the new number is 18 less than the original number. Find the original number.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0& how did you find the answer ?

Hero
 4 years ago
Best ResponseYou've already chosen the best response.0That's a good question. I used trial and error, but there should be a way to solve this algebraically.

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.0If you want to solve it algebraically, simply use two variables x1, and x2 such that x1 represents the tens place, and x2 the ones place. Then, we can make the equations\[\begin{matrix}x_1 +x_2=12 \\ 10x_1 + x_2 = 10x_2 + x_1 +18 \end{matrix}\] Then, using simple algebra, this can be solved for \[\begin{matrix} x_1 = 7 \\x_2 = 5 \end{matrix}\] Giving us the original number: 75.
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