Question

Sum of three consecutive integers is 24 find the integers ​

Answer 1

Answer:

Step-by-step explanation:

Let the first integer be x

then x + x + 1 + x + 2 = 24

3x + 3 = 24

3x = 21

x = 7

Therefore

First integer = x = 7

2nd integer = x+1 = 7+1 = 8

3rd integer = x + 2 = 7+2 = 9

:D

Answer 2

Answer :-

• The three consecutive integers are 7, 8 and 9.

Given :-

• The sum of three consecutive integers is 24.

To find :-

• The value of all the integers.

Step-by-step explanation :-

Let the integers be x, x + 1 and x + 2.

According to the question, sum of these three consecutive integers is 24.

So,

$\sf (x) + (x + 1) + (x + 2) = 24$

Removing the brackets,

$\sf x + x + 1 + x + 2 = 24$

Adding all the variables,

$\sf \: 3x + 1 + 2 = 24$

Adding all the constants,

$\sf 3x + 3 = 24$

Transposing 3 from LHS to RHS, changing its sign,

$\sf 3x = 24 - 3$

On simplifying,

$\sf 3x = 21$

Transposing 3 from LHS to RHS, changing its sign,

$\sf x = \dfrac{21}{3}$

Dividing 21 by 3,

$\sf x = 7.$

So, the value of x = 7.

______________________________________

Since the first integer (x) = 7,

Therefore,

The second integer = x + 1 = 7 + 1 = 8.

The third integer = x + 2 = 7 + 2 = 9.

______________________________________

Verification :-

To check our answer, lets see if these three consecutive integers add up to 24 or not.

7 + 8 + 9 = 24.

Since they add up to 24,

Hence verified! ✔️✔️