The product of two consecutive number odd number is 6723.

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

1. 89
2. 85
3. 91
4. 83

Correct Option: D

Let the two consecutive odd number be (x + 1) and (x + 3).
According to question (x + 1) (x + 3) = 6723
⇒ x² + 3x + x + 3 = 6723
⇒ x² + 4x + 3 = 6723
⇒ x² + 4x - 6720 = 0
⇒ x² + 84x - 80x - 6720 = 0
⇒ ( x - 80 )( x + 84 )= 0
∴ x = 80, (x ≠ -84)
Hence, the greater number = 80 + 3 = 83