A number has two digits whose sum is 9. If 27 is added to the number it's digits gets interchanged. Find the number.
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let the first digit be x
& last digit be y
then x+y=9.........................(1)
and
10x+y+27=10y+x
or 9y-9x=27
or y-x=3....................(2)
(1)+(2)
2y=12
or y=6
putting the value of y in (1)
x+6=9
or x=3
x=3
y=6.............(ans)
& last digit be y
then x+y=9.........................(1)
and
10x+y+27=10y+x
or 9y-9x=27
or y-x=3....................(2)
(1)+(2)
2y=12
or y=6
putting the value of y in (1)
x+6=9
or x=3
x=3
y=6.............(ans)
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