# What is The Greater Number?

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

- 89
- 85
- 91
- 83

**Answer: (4) 83**

**Explanation:-**

Let the two consecutive numbers are X , X + 2.

According to the question,

X x (X + 2) = 6723

X^{2} + 2 X = 6723

X^{2} + 2 X – 6723 = 0

X^{2} + 83 X – 81 X – 6723 = 0

X (X + 83) – 81(X + 83) = 0

(X + 83) (X – 81) = 0

(X – 81) = 0

X = 81

X = 81 then, X + 2 = 81 + 2 = 83

Hence, the greater number is X + 2 = 81 + 2 = 83.