the sum of the digits of the two digit number is 15.the number obtained by interchanging its digits exceeds the given number by 9. find the original number.


Let the number be 10x+y

The sum: x+y=15...(1)

second : 10x+y= 10y+x+9


Solving both the equations (1) and (2)

Y=8 and X=7

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ans. 78

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