The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?
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Step-by-step explanation:
Let the two digit number be xy.
The digit of a two digit number differ by 3.
Hence, x - y = 3 ...(i)
The digit are interchanged and the resulting number is added to the original number we get 143.
10x + y + 10y + x = 143
11x + 11y = 143
x + y = 13 ...(ii)
Solving (i) and (ii) we get x = 8 and y = 5
Hence, the original number is 85.
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