the sum of the digits of a two digit number is 15 . The number obtained by reversing the order of digits of the given number exceeds the given number by 9. Find the given number.
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Step-by-step explanation:
Let the numbers be x and y.
Therefore,
x + y = 15 ............1st eq
10y + x = 10x + y +9
9y - 9x = 9
Y - x = 1 ......................... 2nd Eq.
Now,
x + y = 15
- x + y = 1 ( 2nd equation )
=) 2y = 16
=) y = 8
Then, put the value of y in the equation.
we get,
x + 8 = 15
=) x = 15 - 8
=) x = 7
Two digit no. is 87
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