Be the First to Solve this Math Test and Win an 100% upvote worth $0.4 Instantly #12

in #contest6 years ago

Okay. Let's get started. The first person to solve the word problem below will get an upvote worth $0.4. There will also be some consolation upvotes for some of the late comers.

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How To Participate:

Kindly UPVOTE this post and then answer the question which follows in the comment section. Entries that do not comply with this simple rule will be disregarded.

Question:

The product of three consecutive numbers is 3360. What are the numbers?

Deadline

The test comes to an end once a winner emerges or at the expiration of this post. Good luck guys.


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This reminds me of the combinatorial theory, specifically a problem of variation. The question:

The product of three consecutive numbers is 3360. What are the numbers?

We can consider it as the number of variations of m elements taken n to n, is equal to the product of n consecutive and decreasing factors starting from , so that:

.

with the following data n= 3 y Vm,3= 3360. So:

It is clear that the cubic equations have 3 possible solutions, one of them is a real number, which is of our interest, therefore by the method of Cardano we can obtain this number:

with R= 1678, Q=-3/9 and a1=-3 we have:

In order for the variation to be fulfilled we have:

It is resolved. by @juancmz

14, 15, y 16

Congratulations to all participants especially who carefully gave a math lecture by obtaining the result through equations. -Thank you, steemitcentral for these interesting exercises.

14, 15 16

Late reply thou

The three numbers are 14, 15,16

14 * 15 * 16=3360

14,15,&16

Son tres numeros 14, 15 , 16