The sum of digit of a two-digit number is 3. If 9 is added to the number, the digits are reversed. find the number
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Let the number be
10x+y
ACCORDING TO QUESTION...
x+y= 9......eq(1)
10x+y+9=10y+x
10x-x+y-10y+9=0
9x-9y=-9
9(x-y) =-9
x-y=-1......... eq(2)
From equation 1 and 2 by elimination method
x+y=9
x-y=-1
+ +
..........
2y=10
y=5
FOR x
x-y=-1
x-5=-1
x=-1+5
x= 4
SO THE NUMBER US 45 OR 54
Hope it helps ✌....
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