the sum of the digit of a two digit number is 9 on reversing the digit the new number is obtained is 45 more than the original number find the number
Answers
Answered by
2
Answer:
Step-by-step explanation:
Attachments:
Answered by
6
Hey mate here is your answer ::::
__________________________
__________________________
Let the digit at one's place be X
Let the digit at ten's place be 9-X
No . formed = 10(9-X)+X
.........................= 90-10X+X
.........................= 90-9X
No. formed on reversing the digits = 10(X)+9-X
.................................................................... = 10X+9-X
.................................................................... = 9X+9
ORIGINAL NUMBER ::::
=90-9x+45=9x+9
=135-9x=9x+9
=-9x-9x=9-135
=-18x=-126
=X=-126/-18
=X=7
Therefore, the digit at one's place = X = 7
....................., the digit at ten's place = X = 9-X = 2
Hence , Original Number is ****27******
_________________________
_________________________
Hope it helps you Mate ☺️☺️☺️
♥❤️ Shreya Verma
__________________________
__________________________
Let the digit at one's place be X
Let the digit at ten's place be 9-X
No . formed = 10(9-X)+X
.........................= 90-10X+X
.........................= 90-9X
No. formed on reversing the digits = 10(X)+9-X
.................................................................... = 10X+9-X
.................................................................... = 9X+9
ORIGINAL NUMBER ::::
=90-9x+45=9x+9
=135-9x=9x+9
=-9x-9x=9-135
=-18x=-126
=X=-126/-18
=X=7
Therefore, the digit at one's place = X = 7
....................., the digit at ten's place = X = 9-X = 2
Hence , Original Number is ****27******
_________________________
_________________________
Hope it helps you Mate ☺️☺️☺️
♥❤️ Shreya Verma
Similar questions