A number consists of two digits. The sum of digits is 9. If 63 is subtracted from the number, its digits are interchanged. Find the number
Question
Solution 1
Let's denote the tens digit as "x" and the units digit as "y".
From the problem, we know two things:
x + y = 9 (The sum of the digits is 9)
10x + y - 63 = 10y + x (If 63 is subtracted from the number, its digits are interchanged)
Now, we can solve these equations step by step:
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