A number consists of two digits whose sum is 8 if 8 is added to the number its digits are reversed

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Let digits be x and y Number = 10x+y Reversed Number = 10y+x As per ques. x+y = 8 --- (i) 10x+y +18 = 10y+x => 9x-9y = -18 => x-y = -2 ----(ii) Adding (i) and (ii) 2x =6 x=3 so y =5 so number is 35