## Sum of digits of a two digit number is 9. When the digits are interchanged, the new number is greater than the original number by

Question

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## Answers ( )

Answer:original number is 45,,,

if v interchange v get 54,,,

adding 4+5=9,,first criteria

difference of 54-49=9, second criteria

both criteria fulfilled

Let the digits be x and y.Then, x+y = 9the original number is 10x+y.On reversing, we get the new number as 10y+xThe new number is greater than the old number by27, i.e.(10y+x) – (10x+y) = 27or 9y-9x = 27, or y-x = 3and x+y = 9Adding the two equations, we get 2y = 12 or y = 6.Thus, x = 3.Therefore, the original number is 36……☺