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Question

The 2 digit number which becomes (56)th of itself when its digits are reversed. Find out the number when the difference of the digits is 1.

A
45
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B
54
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C
36
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D
None of these
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Solution

The correct option is B 54
The number becomes 56 of itself on reversing that is the reversed number is less than the original number.
the tens digit in the original number is greater than the unit place digit.
Let the number be 10x+y, then (xy)=1 ....given
x=(y+1) ....(1)
Again 56(10x+y)=10y+x
44x=55y
4x=5y ....(2)
Substituting for x from (1), we get
4(y+1)=5y
y=4
x=y+1=5
the two digit number is 54.

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