Question

A number consists of two digits whose sum is 9 if 27 is subtracted from the number
its digital are reversed. Find the number ​

Answer 1

Answer:

63

Step-by-step explanation:

Let us say that the number is xy.

In algebraic form, this number will be 10x + y.

Now, x + y = 9. So, y = 9 - x.

The original number = 10x + 9 - x = 9x + 9

Reversed Number = yx = 10y + x = 10(9 - x) + x = 90 - 10x + x = 90 - 9x

According to the question,

9x + 9 - 27 = 90 - 9x

18x = 108

x = 6, y = 3

The number is 63.