If the digits of a two digit number are interchanged the number formed is greater than the original number by 45. If the difference between the digits is 5, what is the original number? (Andhra bank SO - 2009)
A
27
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B
49
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C
16
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D
38
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E
Cannot be determined
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Solution
The correct option is E
Cannot be determined Let the original number be xy =(10x+y) so the interchanged number will be yx = (10y+x) So, the difference yx - xy = 9(y - x) = 45 ⇒ (y -x) = 5 It is given in the question (y - x) = 5 but that is not enough.