Question

The sum of 3 consecutive odd numbers is 105

write and solve an equation that models this situation

Answer 1

a + b + c = 105

Explanation:

To solve the actual equation, we would need to see what 3 consecutive numbers add up to 3. a + b + c = 105 just models it out, but what is the value for each of these numbers?

Well, we know these are 3 consecutive numbers, but they are also odd numbers. 105 / 3 = 35, so we need three consecutive odd numbers with 35 being in the middle.

Our first number is 33, our second number is 35, and our third number is 37. When we combine these numbers, our final answer is 105.

a + b + c = 105,

a + 2 = b

b + 2 = c

Answer 2

33,35,37
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