Question

The sum of digits of a two digit number is 11. On reversing the order of digits, the new number is
diminshed by 27 than original number. Find the number ​

Answer 1

Answer:

74

Step-by-step explanation:

Let the units digit be x.

Tens digit = 11-x

Original number = 10(11-x)+x = 110-9x

After reversing digits,

Units digit = 11-x

Tens digit = x

New number = 10x+11-x = 9x+11

According to Question,

110-9x-27 = 9x+11

=> 83-11 = 9x+9x

=> 72 = 18x

=> x = 4

Hence, the number is 74.