The product of two consecutive even numbers is 9408. Which is the greater of the two numbers?
[Andhra Bank (PO), 2008]
Explanation
Let the first even number be 'x'
Then, second even number is (x+2)
And, x(x+2)=9408
or x²+2x-9408=0 [by splitting the middle term]
⇒ x²+98x-96x-9408=0
⇒ x(x-96)+98(x-96)=0
⇒ (x+98)+(x-96)=0
⇒ x=96
∴ The greater number is 98.
Hence, Option B is correct.
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