Question

The sum of two consecutive odd numbers is 124 what equation would you use to solve this problem

Answer 1

x + x + 2 = 124

(and then you could solve that x=61 and the two numbers are 61 and 63)

Explanation:

"sum" means adding. "consecutive" means the two numbers are in a row, or one right after the other. Like 3 and 4 are consecutive numbers and 3 and 5 are consecutive odd numbers. 3 and 11 are not consecutive.

So let one number be x.

Then next odd number after that is +2...so the 2nd number is x+2.

And they add up to 124. Write the equation like this:

 x + x + 2 = 124

If you want or need to solve then:

combine like terms.

2x +2 = 124

subtract 2.

2x = 122

divide by 2.

x = 61

then x+2 is 63.

Answer 2

x + (x+2) = 124

Explanation:

Let x be the first odd number, then the next consecutive odd number would be x+2.

According to the problem, the sum of these two numbers is 124.

So, we can set up the following equation:

x + (x+2) = 124

Simplifying this equation:

2x + 2 = 124

Subtracting 2 from both sides:

2x = 122

Dividing both sides by 2:

x = 61

Therefore, the first odd number is 61, and the next consecutive odd number is 63.

To check, we can add them together:

61 + 63 = 124

So the solution is x = 61.