Question

the sum of three consecutive number is 15,then the numbers are​

Answer 1

Answer:

Step-by-step explanation

:4,5,6

Answer 2

Answer :–

The three consecutive numbers are :–

• 1st number = 4
• 2nd number = 5
• 3rd number = 6

Given :–

• The sum of three consecutive number is 15.

To Find :–

• Three consecutive numbers are ?

Solution :–

Let, the fist number be x.

The second number be x + 1.

The third number be x + 2.

So,

According to the question,

⟹ 1st number + 2nd number + 3rd number = 15

So,

⟹ x + (x + 1) + (x + 2) = 15

⟹ x + x + x + 1 + 2 = 15

⟹ 3x + 3 = 15

⟹ 3x = 15 – 3

⟹ 3x = 12

⟹ x = $\dfrac{12}{3}$

Cut the denominator (3) and the numerator (12) by 3, we obtain

⟹ x = 4

• x = 4

Now, we need to find the three consecutive numbers,

Here,

• 1st number = x = 4
• 2nd number = x + 1 = 4 + 1 = 5
• 3rd number = x + 2 = 4 + 2 = 6

Check :–

Given that, the sum of the three consecutive numbers is 15.

So,

⟹ 1st number + 2nd number + 3rd number = 15

We find all the three consecutive numbers which are :–

1. 1st number = 4
2. 2nd number = 5
3. 3rd number = 6

Now, put all the values,

⟹ 4 + 5 + 6 = 15

⟹ 9 + 6 = 15

⟹ 15 = 15

• L.H.S. = R.H.S.

So, here the L.H.S. is equal to the R.H.S.

Hence, all the three consecutive numbers (4, 5 ,6) are correct.