Question

I asked my daughter how many students are there in her class. She said it is equal to the

sum of 3 consecutive natural numbers. Moreover, it is also equal to the sum of the two natural

numbers following those 3 consecutive natural numbers. What is the number of students in the class? ​

Answer 1

Answer:

y = a + a+1 + a+2

y= a+3 + a+4

from 1 & 2

a=4

y= 4+4+1+4+2

y=15

there were 15 students.

Answer 2

Answer: The number of students in the class is 15.

Step-by-step explanation:

Let's assume that the smallest of the three consecutive natural numbers is 'x'. Then the three numbers can be written as x, x+1, and x+2. The sum of these three numbers can be expressed as 3x+3, which can be simplified to 3(x+1).

Now, let's assume that the sum of the two natural numbers following these three consecutive natural numbers is y and y+1. The two numbers can be expressed as x+3 and x+4. The sum of these two numbers can be expressed as 2x+7.

According to the problem statement, the number of students in the class is equal to both 3(x+1) and 2x+7. Therefore, we can write the equation as:

3(x+1) = 2x+7

Simplifying this equation, we get:

3x+3 = 2x+7

x = 4

So, the smallest of the three consecutive natural numbers is 4. The three numbers are 4, 5, and 6. The sum of these three numbers is 15.

The sum of the two natural numbers following these three consecutive natural numbers is 7 and 8. The sum of these two numbers is 15.

Therefore, the number of students in the class is 15.

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