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Q.

The sum of two digits of a two digit number is 12. The number obtained by interchanging the digits exceeds the given number by 18.Find the number.


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a

  75

b

  57

c

  45

d

  54 

answer is B.

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Detailed Solution

Concept- According to the question we need to find the number by which the sum of two digits of a two-digit number will be 12 and the number after interchanging the digits exceeds the number by 18.
Let assume the knockout that is tens  number  of demanded   number will be Question Image and the unit number  is  Question ImageAccording to the given question Sum of two number  of two  number Question ImageQuestion ImageNumber attained  after reversing the number  is Question ImageHence, the number is
Question Image Now on working  the equation 2 and 3 we will get ,
Question Image  add equation 1 and 4 we will
y= 7
Now take y= 7 in equation 1 we will admit
2y=14
x +y = 12
x+ 7=12
x=12-7
x= 5                 Now we will take the number as Question Image and we will take  the   Question Imageand Question Image Question ImageSo, the number is 57. Hence, the correct option is 2) 57
 
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