Question

The sum of the digits of a two digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is​

Answer 1

Answer:

Let the digits in the tens place be x and digit in the ones place be y

Sum of the digit is 9

Therefore, we have

x+y=9

...(1)

The two digit number is of the form 10x+y

∴We have

10x+y+27

=10y+x

⇒9x−9y=−27

⇒x−y=−3 ...(2)

On subtracting equation (2) from (1) and eliminating y, we get

2x=6

⇒x=3

On substituting value of x in equation (1), we get x+y=9

3+y=9y=6

So, 10x+y

= 10×3+6=36

Therefore, the two digit number is 36.

Step-by-step explanation:

hope it's helpful to you

Answer 2

Answer:

let us assume the number as x

sum of digits of number =9

now let us consider the digits as y and z

now y+z=9

now yz(as digits of x without multiplication)+27=zy

let us try trail and error

0+9=9 and 9+27=36

1+8=9 and 18+27=45

2+7=9and 27+27=54

3+6=9 and 36+27=63

so the number 36

pls mark me as brainliest please