The product of two consecutive odd number is 6723. What

Home » Aptitude » Number System » Question

The product of two consecutive odd number is 6723. What is the greater number ?

1. 89
2. 85
3. 91
4. 83
5. None of the above

Correct Option: D

Let two consecutive odd number be (A + 1) and (A + 3).
According to the question.
(A + 1) (A + 3) = 6723
⇒ A² + 3A + A + 3 = 6723
⇒ A² + 4A + 3 - 6723 = 0
⇒ A² + 4A - 6720 = 0
⇒ A² + 84A - 80A - 6720 = 0
⇒ A(A + 84) - 80 (A + 84) = 0
⇒ (A - 80) (A + 84) = 0
∴ A = 80, (A = ≠ - 84)
Hence, the greater number = 80 + 3 = 83