Question

The sum of the digits of a two-digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54. Find the original number.

48
39
93
84

Answer 1

Answer:

the original no. is no. 93

Answer 2

Answer:

Step-by-step explanation:

Let the digit in the ones place be x

And the digit in the tens place be 12-x

Original number = 10(12-x) + x

= 120-10x+x

= 120-9x

Interchanged number = 10x + 12-x

= 9x + 12

Interchanged number = Original number + 54

9x + 12 = 120- 9x + 54

9x + 9x = 120 + 54 - 12

18x = 162

x = 9

So original number = 120 - 81 = 39