Question Details

The sum of five consecutive numbers is 20. What is the sum of first three consecutive numbers ?

Options

A

5

B

9

C

11

D

12

Show Answer

Correct Answer :

Option B

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:
x, x+1, x+2, x+3, and x+4.

Step 2: Set up the equation based on the given information
We are given that the sum of these five consecutive numbers is 20.
(x)+(x+1)+(x+2)+(x+3)+(x+4)=20

Step 3: Simplify and solve for x
Combine the like terms on the left side of the equation:
5x+10=20

Subtract 10 from both sides:
5x=20-10
5x=10

Divide by 5:
x=2

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:
x=2
x+1=3
x+2=4

Now, calculate their sum:
2+3+4=9

Therefore, the sum of the first three consecutive numbers is 9.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...