Question

The product of two consecutive odd numbers is 2303. What is the greater number

Answer 1

Answer:

49 is the greater number and other number is 47

Answer 2

The greater number is 49.

Step-by-step explanation:

Let the first consecutive number is 2x+1.

Let the second consecutive number is 2x+3.

So, product of two consecutive odd numbers = 2303.

According to question, we get that

$(2x+1)(2x+3)=2303\\\\4x^2+3+8x=2303\\\\4x^2+8x-2303-3=0\\\\4x^2+8x-2300=0\\\\x^2+2x-575=0$

Now, the value of x would be

x = -25 and x = 23

So, the greater number would be

$2x+3=2\times 23+3=46+3=49$

Hence, the greater number is 49.

# learn more:

A, B, C, D and E are five consecutive odd

numbers and their sum if 295. What is the

product of A and D?

(a) 2107

(b) 2303

(c) 2115

(d) 2295

(e) None of these​

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