Question

Sum of the digits of a two digit number is 13. 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?​

Answer 1

Answer:

36

Step-by-step explanation:

Let the digits be x and y.

Then, x+y = 9

the original number is 10x+y.

On reversing, we get the new number as 10y+x

The new number is greater than the old number by 27, i.e.

(10y+x) - (10x+y) = 27

or 9y-9x = 27, or y-x = 3

and x+y = 9

Adding the two equations, we get 2y = 12 or y = 6.

Thus, x = 3.

Therefore, the original number is 36.

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