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

Step-by-step explanation:

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

So, the number will be 10x+y

According to the first condition-

⇒x+y=9 ....(1)

According to the second condition-

⇒10y+x=10x+y+27⇒9y=9x+27

⇒y=x+3 ...(2)

Put the value of y in (2), we have

⇒x+x+3=9

⇒x=3

⇒x+y=9

⇒3+y=9

⇒y=6

∴ the number is 36.

Answer 2

Answer:

The number is 36

Step-by-step explanation:

Let the number be xy

x+y=9------(1)

(10x+y)+27=10y+x

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

9x-9y=-27

x-y=-3----(2)

add equation 1 and 2

we get

x=3

substitute it in eq 1

y=6

so the number is 36