The sum digits of a two-digit number is 14. On reversing the digits the number formed is same as original number. Find the number
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let the unit digit is y and tenth digit is x
then, x+y=14
again,
10x+y=10y+x
=> 10x-x+y-10y=0
=> 9x-9y=0
=> 9(x-y)=0
=> x-y=0
=> x=y
then,
x+y=14
=> y+y=14
=> 2y=14
=> y=14/2=7
also , x=7
the number is 77
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