SOLUTION: the sum of the digits of a two digit number is 13. the number formed by reversing the digits is 27 more than the original number. find the original number
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Question 443173: the sum of the digits of a two digit number is 13. the number formed by reversing the digits is 27 more than the original number. find the original number Answer by swincher4391(1107) (Show Source):
You can put this solution on YOUR website! Let x be the first digit, y be the second. Then our number is 10x + y.
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x + y = 13
10y + x = 27+10x+y
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x +y = 13
9y - 9x = 27
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9x + 9y = 117
-9x + 9y = 27
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18y =144
y = 8
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x + 8 = 13
x = 5
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The number is 58.
