1.

The sum of digit of a two digit number is 13 .the number obtained by interchanging the digit of the given number is exceedthe number by 27 find the number ​

Answer»

Answer:

LET us consider that the two DIGITS are a and B.

Then the NUMBER is (10a + b).

When the digits are interchanged, the new number is (10b + a).

By the given condition :

a + b = 13 .....(i)

and

10b + a = (10a + b) + 27

=> 9b = 9a + 27

=> b = a + 3 .....(ii)

Putting b = a + 3 in (i), we get :

a + a + 3 = 13

=> 2a = 10

=> a = 5

From (ii), putting a = 5, we get :

b = 5 + 3 = 8

Therefore, the number is 58.

✨Hope it will be helpful.✨


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