Question

The sum of three consecutive odd integers is 75. Find the integers.

Answer 1

Answer:

23, 25, and 27.

Step-by-step explanation:

Let the first odd integer be k.

Since the three numbers are consecutive odd integers, the second is given by (k + 2) and the third by (k + 4).

Their sum is 75. Hence:

$k + (k + 2) + (k + 4) = 75$

Solve for k. Combine like terms:

$3k + 6 = 75$

Subtract:

$3k = 69$

And divide:

$k = 23$

Therefore, the first number is 23.

In conclusion, the three consecutive, odd integers are 23, 25, and 27.

Answer 2

Answer:

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Step-by-step explanation:

Let three conductive odd number are x, x+2 , x+4 .

x+x+2+x+4 = 75

3x + 6 = 75

3x = 69

x = 23

First is 23 .

Second is 23+2 = 25

Third = 23 + 4 = 27.

Smallest is = 23