If the sum of three consecutive even integers is 60, what is the first of the three even integers?

Question

Hint: if x and x+2 represent the first two consecutive even integers, how would you represent the third consecutive even integers?

 

This is a math question 

Answer 1

Let A = the first integer

Let B = the second integer

Let C = the third integer

 

We know the numbers are consecutive and even, so we know that

 

B = A + 2

C = B + 2 = A + 4

 

We also know that

 

A + B + C = 60

 

Since we have 3 equations and 3 variables, we can solve. Using substitution, plug B = A+2 and C = A+4 into the second equation:

 

A + (A + 2) + (A + 4) = 60

 

Now solve for A:

 

3*A + 6 = 60

3*A = 54

A = 18

 

Therefore A= 18, B = 20, C = 22