the sum of digits of a two digit no.is 9. if 27 is added to the no. the digits of the original no. get interchanged. find the original no.
Answers
Answered by
2
Answer:
45
Because
the multiple of nine is always equal to its sum of digits.
27 + 45 = 72
And 27 is interchanged to 72.
Answered by
3
Answer:
Let the no. = 10x+y
The sum of the digits:
x + y = 9...................( 1 )
If we subtract 27 from number,
10x + y - 27 = 10y + x
10x + y - 10y - x = 27
9x - 9y = 27 ( divide by 3 )
x - y = 3.....................( 2 )
Adding eq. (1) and eq. (2),
x + y = 9
x - y = 3
2x = 12
x = 12/2
x = 6
Put x = 6 in eq. (1),
6 + y = 9
y = 9 - 6
y = 3
So the no. = 10x + y
= 10 × 6 + 3
= 63
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