Question

The sum of the digits in a two - digits number is 9. The number obtained by interchanging the digits exceeds the original number by 27. Find the two - digit number​

Answer 1

Answer:

36

Step-by-step explanation:

Sum of the digits= 9

Let the number in one's place be X

the number in tens place = (9-x )

Original number = 10(9-x)+X

= 90- 9x

If the two digits are interchanged, the new number increases by 27

ATQ, New number - original number = 27

=> (9x+9) - (90-9x) = 27

=> 9x +9 - 90 + 9x = 27

=> 18x - 81 = 27

=> 18x = 27 + 81

=> X = 108/18

=> X = 6

ones place = 6 ; tens place = 9-6 = 3

thus, the original number is 36

hope it helped you :)