The sum of digits of a two digit number is 7. when the digits are reversed, the number is decreased by 9. find the number. please show the working
KVaishu:
Is the answer 54
Answers
Answered by
39
Hope this helps you
Attachments:
Answered by
44
Let the unit digit = x
and let the tens digit = y
Then the no. is = 10y+x
Reversed No = 10x+y
Case 1. x+y = 7.............(1)
Case 2.
= 10x+y = 10y+x-9
= 9x-9y = 9
= x-y = 1.............(2)
= adding (1) and (2)
= 2x = 8
= x = 4
put the value of x in (1)
= 4+y = 7
= y = 3
then the Number is 10y+x
= 10 . 3+4
= 34. is the No.
and let the tens digit = y
Then the no. is = 10y+x
Reversed No = 10x+y
Case 1. x+y = 7.............(1)
Case 2.
= 10x+y = 10y+x-9
= 9x-9y = 9
= x-y = 1.............(2)
= adding (1) and (2)
= 2x = 8
= x = 4
put the value of x in (1)
= 4+y = 7
= y = 3
then the Number is 10y+x
= 10 . 3+4
= 34. is the No.
Similar questions
Geography,
7 months ago
Accountancy,
7 months ago
Math,
7 months ago
Physics,
1 year ago
Math,
1 year ago
Social Sciences,
1 year ago
Math,
1 year ago