Question

The sum of 2 digit no is 15 .The no obtained by reversing the order of digit of the given no exceeds the given by 9 .Find the number

Answer 1

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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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