Question

The sum of 5 consecutive odd numbers is 149

A) 29, 31, 33, 35, 39
B) 23, 27, 31, 35, 39
C) 21, 25, 29, 33, 37
D) 17, 21, 25, 29, 33

Answer 1

To find the sum of 5 consecutive odd numbers, set up an equation. Solve the equation to find the first odd number, then find the next four consecutive odd numbers. The answer is D) 17, 21, 25, 29, 33.

Step-by-step explanation:

To find the consecutive odd numbers that sum up to 149, we can start by setting up an equation. Let's assume that the first odd number is x. The five consecutive odd numbers would be x, x+2, x+4, x+6, and x+8.

The sum of these numbers is given by: x + (x+2) + (x+4) + (x+6) + (x+8) = 149.

Simplifying the equation, we have: 5x + 20 = 149.

Subtracting 20 from both sides of the equation, we get: 5x = 129.

Dividing both sides of the equation by 5, we find: x = 25.

Therefore, the five consecutive odd numbers that sum up to 149 are 25, 27, 29, 31, and 33. So, the correct answer is D) 17, 21, 25, 29, 33.