The sum of the digits of a two-digit number is 7 and if 9 is added to the number, the digits are reversed. Find the number.
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First digit is 0 and second is 7
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Let first digit be x and second digit be y .
Let original no be = 10 x X + Y
A/Q
1. X + Y = 7
X= 7-Y
2. 10 x X + Y + 9 = 10 x Y + X
10X + Y + 9 = 10Y + X
10X - X + 9 = 10Y - Y
9X + 9 = 9Y
9X - 9Y = -9
X - Y = -1
7-Y-Y = -1
-2Y = -1- -7
-2Y = -8
Y = 4
X = 7-4
= 3
Original no = 34
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