Question

Sum of the digits of a two-digit number is 9. When we interchange the digits, it is
found that the resulting new number is greater than the original number by 27. What
is the two-digit number?
beintbor dicit. If you​

Answer 1

Answer:

The new number is greater than the old number by 27, i.e. Adding the two equations, we get 2y = 12 or y = 6. Thus, x = 3. Therefore, the original number is 36.

Step-by-step explanation:

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Answer 2

Answer:

36

Step-by-step explanation:

let the digits be x and y

so, the number = (10x + y) and the no after interchanging digits = (10y+x)

atq, x+y = 9....(i)

     10y + x - (10x + y) = 27

or ,  10y + x - 10x -y =27

or   9y - 9x =27

or   9(y-x) = 27

or   y-x = 3....(ii)

adding (i) and (ii),

y+x+y-x = 9+3 =12

or,2y = 12 or, y=6 and x=3

the number is 36