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Question:
The sum of the digits of a two-digit number is 9. If the digits are reversed, the number increases by 27. Find the number.

Answer:
Let tens = x, units = y.
10x + y + 27 = 10y + x → 9x − 9y = −27 → x − y = −3.
Also, x + y = 9 → Solving → x = 3, y = 6 → Number = 36.
✅ Answer: 36

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