# Find Out the Smaller Value Number: If

Answered

The product of two consecutive odd numbers is 8463. what is the value of the smaller number?

- 89
- 91
- 93
- 95

Best answer

**Answer: (2) 91**

**Explanation:-**

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

According to the question,

(X ) x (X + 2) = 8463

X^{2} + 2 X = 8463

X^{2} + 2 X – 8463 = 0

X^{2} + 93 X – 91 X – 8463

X (X + 93) – 91 (X + 93) = 0

(X + 93) (X – 91 ) = 0

X – 91 = 0

X = 91

Then, X + 2 = 91 + 2 = 93

Hence, the smallest number is 91.