The difference between a two-digit number and the number obtained by interchanging the two digits of the number is 9. If the sum of the two digits of the number is 15 then, what is the original number?
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10x+y-(10y+x)=9 10x+y-10y-x=9 9x-9y=1 x-y=1 and given x+y=15 solving two equations we get x=8 and y=7 the original number is 87
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