Sum of the digits of two-digit number is 9. When we interchange the digits.it
found that the resulting new number is greater than the orginal number by 27. What is the two-digit number?
Answers
Answered by
5
Step-by-step explanation:
Let unit digit be x .
ten's digit be 9-x .
original number = 10(9- x)+x
=90-10x+x
=90-9x
Reverse number =10(x)+9-x
=10x+9-x
=9x-9
original number - 27 =reverse number
90- 9x - 27 = 9x -9
63 - 9x = 9x - 9
63 + 9 = 9x + 9x
72 = 18x
72/18 = x
4 = x
therefore, unit digit x = 4
ten's digit 9 - x = 9 - 4
= 5
therefore , the number is 54 .
Similar questions