Question

a no has 2 digit whose sum is 9 if 27 is added to the number its digit get interchange find the number ​

Answer 1

Answer:

number is 36

Step-by-step explanation:

Let the digit in the unit's place be y and the digit in the ten's place be x

Then the original no: would be 10x + y

According to the question

x+y=9    (1)

10x+y+27=10y+x

10x-x+y-10y=-27

9x-9y=-27

dividing equation by 9

x-y=-3    (2)

x+y=9   (1)

x-y=-3   (2)

(1)+(2)

x+x+y+(-y)=9+(-3)

2x+y-y=9-3

2x=6

x=6÷2

x=3

putting x=3 in (1)

x+y=9

3+y=9

y=9-3

y=6

the number is 10x+y

10×3+6

=30+6

=36