The sum of three consecutive

Question:

The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.

Solution:

Let the three consecutive odd natural numbers be $x,(x+2)$ and $(x+4)$. According to the question,

$x+(x+2)+(x+4)=69$ [given]

$\Rightarrow$ $3 x+6=69$

$\Rightarrow$ $3 x=69-6 \Rightarrow 3 x=63$

$\therefore$ $x=63 \times \frac{1}{3}=21$

Thus, the three consecutive odd natural numbers are $21,(21+2)$ and $(21+4), i, e .21,23$ and $25 .$ Out of these, only 23 is the prime number.

 

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now