Question

22. Sum of the digits of a two-digit 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 . please fast ​

Answer 1

Answer:

36

Step-by-step explanation:

Let that two digit number be ab, which can be written as 10a + b.

Here, sum of digits = 9

        ⇒ a + b = 9

        ⇒ a = 9 - b

When digits are interchanged new no. is ba or 10b + a.

    According to question:

⇒ New number = origi. no. + 27

⇒ 10b + a = 10a + b + 27

⇒ 10b - b + a - 10a = 27

⇒ 9b - 9a = 27

⇒ b - a = 27/9  = 3

⇒ b - ( 9 - b ) = 3     { a = 9 - b }

⇒ b + b - 9 = 3

⇒ 2b = 12

⇒ b = 6

            So, a = 9 - 6 = 3

Hence,

Required number is ab = 36