Question

Sum of the digits of a 2-digit number is 9. When we interchange the
digits, it is found that the resulting new number is greater than the original number by
27. What is the two digit number?​

Answer 1

Answer:36 and 63

Step-by-step explanation:

Answer 2

Sum= 9
Ones digit = x
Tens digit =+9
=10(x-9)
= 10x -90
Number formed = 10x -90-x
= 10x-9

After interchanging
Ones digit = x+9
Tens digit = x
=10x
Number formed = x+9-10x
= 9x+9


9x+9 - ( 90-9x ) = 27
18x -81 = 27
18x = 108
WHEN WE DIVIDE 18 AND 108 IT IS 6 SO

x = 6
So the number in
Ones digit = 6
Tens digit = 3
Number is 63


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