Question

than the original number, find the number.
The sum of the digits of a 2-digit number is 11. If the
number obtained by reversing the order of digits is 9 less
than the original number, find the original number.
Mathematics-8 1761​

Answer 1

Answer:

56 or 65

Step-by-step explanation:

Let us assume the first digit as x and the other digit as (11-x).

By forming equations we get:

10(x) + (11-x) + 9 = 10(11-x) + x

In this equation, when added by the number 9, the reversed order of digits turn into the original number.

Solving the equation:

10x + 11 - x + 9 = 110 - 10x +x

9x + 20 = 110 - 9x

9x + 9x = 110-20

18x = 90

x = 90/18

x = 5

So, The first digit is x, that is 5. The second digit is 11-x that is 11 - 5 = 6.