The sum of the digits of a two digit number is 9. If 27 is added to it, the digits of the numbers get reversed. Find the number.
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3
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Step-by-step explanation:
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6
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Let the one's place digit be x and ten's place digit be y.
Number = 10y + x
x + y = 9 --> ( i )
10y + x + 27 = 10x + y --> ( ii )
9y - 9x = - 27
9x - 9y = 27
x - y = 3 --> ( iii )
2x = 12
x = 6
6 + y = 9
y = 3
Number = 10*3 + 6
Number = 36
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