Question

The sum of of the digits of a two digit no. is 9. if 27 is added to it, the digits of no. get reversed. the number is

Answer 1

Let the tens place digit be a

And Unit place digit be b

According to first condition,

a +b = 9 ----------(1)

According to second condition,

10a + b + 27 = 10b + a

=> 10a + b - 10b - a = - 27

=> 9a - 9b = - 27

=> a - b = - 3 --------(2)

On Adding equation 1 and 2, we get

2a = 6

=> a = 3

Now,

On Substituting the value of a in equation (1) , we get

3 + b = 9

=> b = 6

Required number = 10a + b

= 10 × 3 + 6

= 30 +6

= 36

Answer 2

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