Question

three consecutive integers add up to 57 what are these integers​

Answer 1

Answer:

18, 19, and 20.

Step-by-step explanation:

Here we will use algebra to find three consecutive integers whose sum is 57. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 57. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 57

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 57

3X + 3 = 57

3X + 3 - 3 = 57 - 3

3X = 54

3X/3 = 54/3

X = 18

Which means that the first number is 18, the second number is 18 + 1 and the third number is 18 + 2. Therefore, three consecutive integers that add up to 57 are 18, 19, and 20.

18 + 19 + 20 = 57

We know our answer is correct because 18 + 19 + 20 equals 57 as displayed above.

HOPE IT HELPS!

Answer 2

Given: Sum of three consecutive integers = 57

To find: The integers

Let: The consecutive integers are (x - 1), x and (x + 1)

Solution: According to the given question,

Sum of three consecutive integers = 57

⇒ (x - 1) + x + (x +1) = 57

⇒ x - 1 + x + x + 1 = 57

Simplifying the equation,

⇒ 3x = 57

⇒ x = 57/3 = 19

Hence, one integer is 19

Other two integers are, (x - 1) = (19 - 1) = 18

and (x + 1) = (19 + 1) = 20

Three consecutive integers that add up to 57 are 18, 19 and 20.