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2014-10-06T15:16:44+05:30

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Let the digits be x and y

so given xy = 18 
            ⇒y = 18/x     ................(i)
so the number is 10x + y 
so now given 
 10x + y - 27 = 10y + x 
⇒9x - 9y = 27
⇒ x - y = 3   ..... (ii)
substituting (i) in (ii)
⇒ x - 18/x = 3
⇒x² - 3x - 18 = 0
⇒ x²  - 6x + 3x - 18 = 0
⇒ x(x - 6) + 3(x - 6) = 0
⇒(x + 3)(x - 6) = 0

so x = - 3, 6
so x cannot be negative

so x = 6

so y = 18/x ⇒ y = 18/6 = 3

so the number is 10x + y 
                          = 10 × 6 + 3
                           = 63       ANSWER
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2014-10-06T15:51:15+05:30
Answer
      So the number is 10x + y
                                 =10X6+3
                                 =63
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