Question

6. The sum of the digits of a two-digit number is 9. If 27 is added to it. The digit of the number get reversed. The number is
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Answer 1

Answer:

45

Step-by-step explanation:

45

4+5 = 9

and when 27 is added to it

45+27 = 72 where digits get reversed .

Answer 2

Answer:

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

So, the number will be 10x+y

 ⇒x+y=9    ....(1)

 ⇒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