The sum of five consecutive numbers is 20. What is the sum of first three consecutive numbers ?
Correct Answer :
9
Solution :
The correct option is 9.
Let's solve the problem step-by-step to find the sum of the first three consecutive numbers.
Step 1: Define the consecutive numbers
Let the five consecutive numbers be represented as:
, , , , and .
Step 2: Set up the equation based on the given information
We are given that the sum of these five consecutive numbers is 20.
Step 3: Simplify and solve for
Combine the like terms on the left side of the equation:
Subtract 10 from both sides:
Divide by 5:
So, the five consecutive numbers are 2, 3, 4, 5, and 6.
Step 4: Find the sum of the first three consecutive numbers
The first three consecutive numbers are:
Now, calculate their sum:
Therefore, the sum of the first three consecutive numbers is 9.
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