SOLUTION: The sum of two consecutive even numbers plus the next odd number is 161. Write an algebraic equation that can be used to solve this problem. What is the greater even number?

Question 766880: The sum of two consecutive even numbers plus the next odd number is 161. Write an algebraic equation that can be used to solve this problem. What is the greater even number?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
Let the smaller even number be n.
Then the next consecutive even number is n+2
And the next odd number is n+2+1 = n+3
Sum = 161. This can now be expressed as the algebraic equation
n+n+2+n+3 = 161 or
3*n + 5 = 161 or

Solving for n

So the 3 numbers are 52, 54 and 55.
The greater even number is 54.
:)
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