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Product of three consecutive odd numbers is 1287. What is the largest of the three numbers?
- A9
- B11
- C13
- D17
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CCommunity
Let the 3 numbers be n - 2, n, n + 2
⇒ (n - 2)(n)(n + 2) = 1287
⇒ (n2 - 4)(n) = 1287
⇒ n3 - 4n - 1287 = 0
⇒ n = 11 is the only odd number that is the root of above equation
So, the largest number = n + 2 = 11 + 2 = 13
⇒ (n - 2)(n)(n + 2) = 1287
⇒ (n2 - 4)(n) = 1287
⇒ n3 - 4n - 1287 = 0
⇒ n = 11 is the only odd number that is the root of above equation
So, the largest number = n + 2 = 11 + 2 = 13