a number consists of two digits whose sum is 8.If is added to the number , its digits are interchanged.The number is_.
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x+y=8
y=8-x
now, 10y+x-10x-y=35
9y-9x=35
put y=8-x
10(8-x)+9x=35
80-10x+9x=35
80-x=35
-x=-45
x=45
now x+y=8
45+y=8
y=-37
y=8-x
now, 10y+x-10x-y=35
9y-9x=35
put y=8-x
10(8-x)+9x=35
80-10x+9x=35
80-x=35
-x=-45
x=45
now x+y=8
45+y=8
y=-37
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