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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
  • a)
    36
  • b)
    63
  • c)
    72
  • d)
    27
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The sum of the digits of a two digit number is 9. If 27 is added to it...
Let the two digit number be 10x+y.
According to question,
x+y=9 ……….(i)
And 10+y+27 = 10y+x
⇒ 9x−9y = −27
⇒ x−y = −3 ……….(ii) 
On solving eq. (i) and (ii), we get 
x = 3,y = 6
Therefore, the two digit number is 10×3+6 = 36
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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 isa)36b)63c)72d)27Correct answer is option 'A'. Can you explain this answer?
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