Question

The sum of the the two digits number is 9. The number obtained by interchanging the digits exceeds the original number by 27. find the two digit number.​

Answer 1

Step-by-step explanation:

let ones place digit be y

let tens place digit be x

so numberb is 10x+y

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

by inter chainging

(10y+x)-(10x-y)=27

10y+x-10x-y=27

9x-9y=27

x-y=3.......(2)

x=6

y=3

therefore,the number is 36 or 63.

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