A number has two digits whose sum is 9.If 27 is added to the number,its digits get reversed.Find the original number.
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let the number be 10x + y
x + y = 9
10x + y + 27 = 10y + x
9x + 27 = 9y
9y - 9x = 27
y - x = 3
Add both the equation
2y = 12
y = 6
x + 6 = 9
x = 3
The number is 36
x + y = 9
10x + y + 27 = 10y + x
9x + 27 = 9y
9y - 9x = 27
y - x = 3
Add both the equation
2y = 12
y = 6
x + 6 = 9
x = 3
The number is 36
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