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Question

A two digit number is such that product of its digit is 18 When 63 is subtracted from the number the digit interchanged their place Find the number

A
92
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B
56
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C
88
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D
71
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Solution

The correct option is A 92
Let the number be 10x+y
According to question,
10x+y63=10y+x
10xx+y10y=63
9x9y=63
xy=7
x=7+y (i)
xy=18 (ii)
Substituting the value of x in (ii) we get,
(7+y)y=18
y2+7y18=0
y2+9y2y18=0
y(y+9)2(y+9)=0
(y+9)(y2)=0
y=9 and y=2
y=9 is not valid
y=2
Putting the value of y in (i) we get,
x2=7
x=7+2
x=9
So the number =10x+y=10(9)+2=92

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