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Question

A two digit number such that the product of its digit is 15. If 18 is added to the number, the digits interchange their places. Find the number.

A
53
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B
35
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C
25
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D
52
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Solution

The correct option is B 35
Let the unit digit be x
Then, the tens digit will be 15x
According to the question,
10×15x+x+18=10×x+15x

9×15x+18=9x

x22x15=0
x25x+3x15=0
x(x5)+3(x5)=0
(x5)(x+3)=0
x=5 as digit cannot be negative
Hence, the number is 35
So, option b is correct.

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