The sum of the digits of a 2 digit number is 9 if the number formed by reversing its digits is 27 less than the original number
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Step-by-step explanation:
Let the ones place number = y
tenth place number = x
The number = 10x + y (x+y given)
after reversing
The number = 10y + x
According to question
10x + y = 10y + x + 27
10x - x = 10y - y + 27
9x = 9y + 27
9x - 9y = 27
9(x - y) = 27
x - y= 27 ÷ 9
x - y= 3
x = 3 + y
x + y = 9
x = 9 - y
x = 9 - y = 3 + y
9 - y = 3 + y
9 - 3 = y + y
6 = 2y
3 = y
x + y = 9
x + 3 = 9
x = 9 - 3
x = 6
The number is XY = 63
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