Question

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three baskets contain three consecutive odd numbers of apples. there are 105 apples in total. how many apples
enter the numbers from least to greatest.
number 1:
number 2:
number 3:

Explanation:

Step1: Define the variables

Let the first odd number be \( x \). Then the next consecutive odd numbers will be \( x + 2 \) and \( x + 4 \) (since consecutive odd numbers differ by 2).

Step2: Set up the equation

The sum of the three numbers is 105, so we have the equation:

$$ x+(x + 2)+(x + 4)=105 $$

Step3: Simplify and solve the equation

Combine like terms:

$$ 3x+6 = 105 $$

Subtract 6 from both sides:

$$ 3x=105 - 6=99 $$

Divide both sides by 3:

$$ x=\frac{99}{3}=33 $$

Step4: Find the other numbers

The first number is \( x = 33 \). The second number is \( x + 2=33 + 2 = 35 \). The third number is \( x + 4=33+4 = 37 \).

Answer:

number 1: 33
number 2: 35
number 3: 37