the sum of digit of a two digit number is 9 if 27 is subtracted from the number its digits are interchanged find the number
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Let ten's digit be = x
Let one's digit be = y
given , x+y= 9. ------ (¡)
=> 10x + y - 27 = 10y + x. -------(¡¡)
=> 9x-9y=27
x=9- y { in (¡)}.
9x- 9y =27
9(x-y)=27
X-y=3
X=3+y. use in equation (¡)
3+y+y=9
Y=3 use in (x-y=3)
X=6
Therefore no. Is 63
Let one's digit be = y
given , x+y= 9. ------ (¡)
=> 10x + y - 27 = 10y + x. -------(¡¡)
=> 9x-9y=27
x=9- y { in (¡)}.
9x- 9y =27
9(x-y)=27
X-y=3
X=3+y. use in equation (¡)
3+y+y=9
Y=3 use in (x-y=3)
X=6
Therefore no. Is 63
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