The sum of two consecutive odd numbers is 148. Find the numbers.

Answer 1

Hi there! I'd love to help you out!

First, we need to assign variables to our missing numbers. Let's say our first odd number is "x"

x = 1st odd number

Now, to find the next consecutive odd number, we will add 2 to our x. Now we have:

x = 1st odd number

x + 2 = 2nd odd number

Now we know their "sum" is 148. So when we add them together we get 148:

1st odd number + 2nd odd number = 148

Now we can substitute in our variables and solve:

x + x + 2 = 148

2x + 2 = 148

-2 -2

2x = 146

/2 /2

x = 73

So, our first odd number is 73 and our second is 75. I hope this explanation was thorough and answered all of your questions. If you have additional questions, please don't hesitate to reach out! Learn on! :)

Answer 2

Jesse's answer is perfect. For those who are too lazy for that, divide 148 by 2 (because there are two numbers ) you get 74. This gives you the mid-point of the 2 numbers. Now that you know the numbers should be odd, it is not hard to guess that one is 73 (1 less than 74) and the other is 75 (1 more than 74).