Question

Sum of the three consecutive odd number is 1365. What is the largest number?
1. 463
2. 459
3.  457
4. 461
5. None of these

Answer 1

Correct Answer - Option 3 :  457

Given:

The sum of three consecutive number is 1365.

Calculation:

Let the three consecutive odd number be x, (x + 2), (x + 4) 

Then, the sum of three consecutive odd number = 1365

⇒ x + x + 2 + x + 4 = 1365

⇒ 3x + 6 = 1365

⇒ 3x = 1359 

⇒ x = 453

The largest number = (x + 4) = 453 + 4 = 457

The largest number is 457.