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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

and the unit number is

According to the given question Sum of two number of two number

Question Image

Number attained after reversing the number is

Hence, the number is

Now on working the equation 2 and 3 we will get ,

add equation 1 and 4 we will

y = 7

Now take y= 7 in equation 1 we will admit

2 y = 14

x + y = 12

x + 7 = 12

x = 12 - 7

x = 5

Now we will take the number as

and we will take the

and

So, the number is 57. Hence, the correct option is 2) 57

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