Question

Which of the following equations would be appropriate to solve:

Find three consecutive integers whose sum is 21.
A 21a = 3
B 3a = 21
C)
ata+1+a+2 = 21
D a +a+a= 21
What would the answer choice be?

Answer 1

The correct expression to represent the three consecutive integers whose sum is 21 will be:

• a + (a+1) + (a+2) = 21

Explanation:

Let 'a' be the first number

so

a + (a+1) + (a+2) are the three consecutive integers.

Given that the sum of three consecutive integers is 21.

so

a + (a+1) + (a+2) = 21

3a + 3 = 21

subtracting 3 from both sides

3a + 3 - 3 = 21 - 3

3a = 18

a = 6

Therefore, the correct expression to represent the three consecutive integers whose sum is 21 will be:

• a + (a+1) + (a+2) = 21

Note: your option answers are a little unclear, but I hope you may have got an idea about this concept.