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Q.

The ten's digit of a two-digit number exceeds its unit's digit by 4. If the ten's digit and the unit's digit are in the ratioQuestion Image, find the number.


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Concept: concept in this question is we need to remember that when a two digit number is formed, 10 has to be multiplied to the tens digit. A two digit number is the sum of multiplied to the tens digit and the units digit.
A/q to question : we know
Question ImageAnd Question ImageSo,
Question Image=>Question Image=>Question ImageQuestion ImageWe will now simultaneously solve (1) and (2),
Question ImageSubstituting the above equation in (2), we get
Question Image Question ImageQuestion ImageQuestion ImageTherefore, the required number is 
Question Image Hence, the correct answer is option (1).
 
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