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Question
The sum of three consecutive odd numbers is 63. Find the numbers.
Solution
Let the smallest odd number be x. Then, the next two consecutive odd numbers are:
x + 2 and x + 4.
The sum of these three numbers is given as 63
x + (x + 2) + (x + 4) = 63.
Simplify the equation:
x + x + 2 + x + 4 = 63.
3x + 6 = 63
Subtract 6 from both sides:
3x = 57
Divide by 3: x = 19
The three consecutive odd numbers are:
x = 19, x + 2 = 21, x + 4 = 23.
The three consecutive odd numbers are: 19, 21 and 23
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