Question

The product of three consecutive odd numbers is 6,783. What are the numbers?

Answer 1

The numbers are 2260, 2261, and 2262. Here’s how i figured it out:
Let x = The smallest numberThe second number is the the first number with one added to it, so it can be represented as x+1.The third number is the first number added 2 to it, so we can say it's x+2.Put this in a equation. The three numbers add together to become 6783, so it will be the sum.6783 = x + x + 1 + x + 2I just replaced the second and third numbers with what I explained above.We also can simplify the expression by combining the like terms to become 6783 = 3x + 3.Subtract 3 on both sides.6780 = 3xDivide by three on both sides to isolate the variable.2260 = xBut, we’re not done yet. Since x is only the starting number, we have to add 1 and 2 to it to get the consecutive  numbers. I think you can add, so the three consecutive numbers will be 2260, 2261, and 2262. If you’re not sure then you can add the three numbers together and you will get 6783.I hope this answer helped and if you have any other questions, don’t hesitate to contact me!