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Sum of the digits of a two-digit is number is 9.When we interchange the digits,it is found that the resulting new number is greater than the original number by 27.What is the two-digit number?
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Ashok
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Let the two digit number be xy.
The number can be written as 10x+y
If it is reversed, the number is 10y+x
As per the first condition,
x + y = 9
x + y - 9 = 0 ==> 1
As per second condition,
10y + x = 10x + y + 27
10x - x + y - 10y + 27 = 0
9x - 9y + 27 = 0
Divided by 9 ==> x - y + 3 = 0 ==> 2
By solving 1 and 2,
x = 3 and y = 6
So, the resulting two digit number is 36.
Thankyou
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