The product of two consecutive odd numbers is 6723. What is the greater number?
Correct Answer: Description for Correct answer:
Let two consecutive odd number be (x + 1) and (x + 3).
According to the question, (x + 1) (x + 3) = 6723
=> \( \Large x^{2}+3x+x+3 \)= 6723
=> \( \Large x^{2}+4x+3 \)= 6723
=> \( \Large x^{2}+4x+3-6723 \)= 0
=> \( \Large x^{2}+4x-6720 \)= 0
=> \( \Large x^{2}+4x-6720 \)= 0
=> \( \Large x^{2}+84x-80x-6720 \)= 0
=> x(x+84)-80 (x+84)= 0
=> (x-80)(x+84)= 0
x=80, (x = -84)
Hence, the greater number = 80 + 3 = 83
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