a number consists of two digits and their sum is a 16 if if 18 is added to the sum then the number the digits are interchanged find the numbers
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Let the ten's digit be x unit's digit be y.
Original Number = 10x + y
By Question,
x + y = 16---------(1)
Also,
10x + y + 18 = 10y + x
9x - 9y + 18 = 0----------(2)
Solving the equations,
x = 7, y = 9
Hence, the numbers are 79 and 97
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