SOLUTION: The sum of the digits of a two digit number is 9. The number with the digits interchanged is 18 more than twice the original number. Find the original number?

Question 925704: The sum of the digits of a two digit number is 9. The number with the digits interchanged is 18 more than twice the original number. Find the original number?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = ones digit
y = tens digit
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x + y = 9
10x + y = 2(x + 10y) + 18
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x + y = 9
10x + y = 2x + 20y + 18
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x + y = 9
8x - 19y = 18
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put the system of linear equations into standard form
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x + y = 9
8x - 19y = 18
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 7
y = 2
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answer:
the original number is = 27
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