SOLUTION: The sum of the digits of a certain two digit number is 7. Reversing it's digits increases the number by 9. What is the number?

Question 932696: The sum of the digits of a certain two digit number is 7. Reversing it's digits increases the number by 9. What is the 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 = 7
10x + y = x + 10y + 9
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put the system of linear equations into standard form
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x + y = 7
9x - 9y = 9
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https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = ones digit = 4
y = tens digit = 3
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answer:
the number, by observation = 34
the number, by algebra = x + 10y = 4 + 10*3 = 34
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