2. A number consists of two digits whose sum is 8. If 36 is added to the
number, the digits are reversed. Find the number.
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Solution :
Let the one number be x and another number be 8 - x.
10x + (8 - x) + 36 = 10(8 - x) + x
10x + 8 - x + 36 = 80 - 10x + x
9x + 44 = 80 - 9x
9x + 9x = 80 - 44
18x = 36
x = 2
Therefore,
- One number = x = 2
- Other number = (8 - x) = 8 - 2 = 6
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