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Let the unit digit is b and tenth dight is a So the number = 10a + b
According to first condition, a + b = 16 ........(i)
According to second condition,
10a + b + 18 = 10b + a
= 10b + a - 10a - b = 18
= 9b - 9a = 18
= b - a = 2 ........ (ii)
By adding equation (i) and (ii),
a + b + b - a = 16 + 2
= 2b = 18
= b = 9
From equation (i),
a + b = 16
= a + 9 = 16
= a = 7
The original number
= 10a + b
= + 9
= 79 (Answer)
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