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प्रश्न
The sum of three consecutive odd numbers is 75. Which is the largest among them?
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उत्तर
Given sum of three consecutive odd numbers is 75
Odd numbers are 1, 3, 5, 7, 9, 11, 13
∴ The difference between 2 consecutive odd numbers is always 2. or in other words, if one odd number is x, the next odd number would be x + 2 and the next number would be x + 2 + 2x + 4
i.e x + 4
Since sum of 3 consecutive odd numbers is 75
∴ x + x + 2 + x + 4 = 75
∴ 3x + 6 = 75
⇒ 3x = 75 – 6
∴ 3x = 69
x = `69/3` = 23
∴ The odd numbers are 23, 23 + 2, 23 + 4
i.e 23, 25, 27
∴ Largest number is 27.
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