. The sum of the digits of a two digit number is 9. The number obtained by reversing the digits is 9 less than the original number. Find the number.
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... obtained by reversing the digits is 9 less than the original number . find the number - 4683372.
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Step-by-step explanation:
X+Y=9
10y+x+9= 10x+y
10y-y+9=10x-x
9y+9=9x
9(y+1)=9x
y+1=x
Putting the value(x=y+1) in equation (1)
(y+1)+y=9
2y+1=9
2y=9-1
2y=8
Y=4
Putting the value of y=4 in(1)
X+4=9
x=9-4
X=5
Number=10x+y=10×5+4=54 Answer
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