Question

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Answer 1

Step-by-step explanation:

Q.7 ) Let the two digit number be 10x+y

Given that the sum of the digits is 9

x+y=9------------------(1))

Given that the number obtained by interchanging the digits exceeds the given number by 27

10y+x=10x+y+27

9x−9y=−27

taking 9 as common

x−y=−3---------------------(2)

Adding equation 1 and 2

x+y=9

x−y=−3

2x=6

x=3

3+y=9

y=6

The number is 10x+y is 36.