Question

The sum of three consecutive numbers is 363. What is the equation that should be used to find the numbers?

a) x + (x+1) + (x+2) = 363
b) x + (x-1) + (x-2) = 363
c) 3x + 363 = 0
d) x^2 + 363 = 0

Answer 1

The equation to find three consecutive numbers that add up to 363 is a) x + (x+1) + (x+2) = 363. This equation is used because it represents three consecutive numbers starting with x, and their sum is set equal to 363.

Step-by-step explanation:

The correct equation to find three consecutive numbers whose sum is 363 is a) x + (x+1) + (x+2) = 363.

Here's the step-by-step explanation:

1. Let the first number be x.
2. The next consecutive number is one more than the first, so it is x+1.
3. The third consecutive number is two more than the first, so it is x+2.
4. We are given that the sum of these three numbers is 363, so we write the equation as x + (x+1) + (x+2) = 363.
5. To find the values of these numbers, we would combine like terms and solve for x

By using this equation, we will be able to determine the three consecutive numbers that add up to 363.