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Step-by-step explanation:
let 'x' be ten's place and 'y' be in unit place
x + y = 8................... 1
original number = 10x + y
number obtained on reversing the digits = 10y + x
therefore 10y + x = 18 + 10x + y
=> 10y + x - 10x - y = 18
=> 9y - 9x = 18
=> y - x = 2...................2 [ dividing both sides by 9 ]
x + y = 8..................1
-x + y = 2................2
adding 1 and 2
2 y = 10 => y = 5
x + 5 = 8 => x = 3
therefore the number is 10 × 3 + 5 => 35
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