The sum of three consecutive even number is 72 fine the number
Mathematics
ScanSolve AI Answer
Step-by-step solution
4 stepsDefine the variables.
Let the first even number be x.
Since the numbers are consecutive even numbers, the next even number will be x + 2.
The third consecutive even number will be x + 4.Set up the equation.
The sum of these three numbers is 72.
x + (x + 2) + (x + 4) = 72Solve the equation for x.
Combine like terms:
3x + 6 = 72
Subtract 6 from both sides:
3x = 72 - 6
3x = 66
Divide by 3:
x = 66 / 3
x = 22Find the three consecutive even numbers.
First number: x = 22
Second number: x + 2 = 22 + 2 = 24
Third number: x + 4 = 22 + 4 = 26The three consecutive even numbers are 22, 24, and 26.
Was this helpful?
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.
Got a different question?Ask your own question
More Mathematics Questions
QThe sum of two consecutive even numbers is 270. What are the two numbers?QThe sum of three consecutive even numbers is 36. Find the largest of these numbers.QThe sum of three consecutive even numbers is 54. If the middle number is m, find the value of m.QThe number pattern below shows the sum of consecutive odd numbers. Complete lines 5 and 6, find the…QThe sum of the square of two consecutive even integers is 244 find the integer and form quadratic…