Question

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.​

Answer 1

Answer:

45

Because

the multiple of nine is always equal to its sum of digits.

27 + 45 = 72

And 27 is interchanged to 72.

Answer 2

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

Hope it will help u !!

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