The product of two consecutive even numbers is 3248. Which is the larger number?
[IBPS RRB (P0), 2013]
Explanation
Let the one even number be x'
Then, another even number is (x+2)
Now, x(x+2)=3248
or x²+2x-3248=0
⇒ x²+58x-56x-3248=0 (by splitting the middle term)
⇒ x(x-56)+58(x-56)=0
⇒ (x-58)(x-56)=0
⇒ x=56
∴ Larger nummber is x+2 or 56+2=58
Hence, Option A is correct.
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