Question

the sum of three consecutive odd numbers is 75 find the numbers

Answer 1

Answer:

Here the answer

Step-by-step explanation:

In Step by Step From

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Answer 2

Answer:

23, 25 and 27 are the three consecutive odd numbers, whose sum is 75.

Step-by-step explanation:

Explanation:

Let 2n + 1 , 2n + 3 and 2n+ 5 be the three consecutive odd numbers.

Now , according to the question the sum of three consecutive odd numbers = 75 .

Step 1:

So, from the question we have,

(2n + 1) + (2n + 3) + (2n + 5) = 75

⇒6n + 9 = 75

⇒ n = $\frac{75 - 9 }{6}$ = $\frac{66}{6} = 11$ .

Now, we put the value of n = 11 in the assumed numbers.

⇒ 2 × 11 + 1 = 23, 2 ×11 + 3 = 25 and 2 × 11 + 5 = 27

Final answer:

Hence, the three consecutive odd numbers are 23, 25 and 27.

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