Question

sum of the digit of two-number is 9. when we interchange the digit, it is found that that the resulting new number is greater than the original number by 27. what is the two- digit number?

Answer 1

According to the question :

x + y = 9

10x + y + 27 = 10y + x

10x - x + y - 10y = - 27

9x - 9y = - 27

9 ( x - y ) = - 27

x - y = - 3

x = - 3 + y

x + y = 9

- 3 + y + y = 9

2y = 9 + 3

2y = 12

y = 6

x + y = 9

x + 6 = 9

x = 9 - 6

x = 3

So the no. is 36

Hope it helps you :-)

Answer 2

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