At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
x + x + 2 = 226 Or, 2x = 224 Now can you solve it for x
We can solve this with an equation. We start by choosing a variable. Let x be the smaller number.
The next larger even number is 2 larger than x, that makes the larger number x + 2.
224/2 made it easier
Since we are told what the sum of the two consecutive even numbers is, we use our expressions with x and we follow what the problem tells us. The sum of the two consecutive even numbers is x + x + 2. We are told the sum is equal to 226, so that gives us our equation: \(x + x + 2 = 226\)
but thats not answer
wait would it be 110 and 112?
Now we add the like terms on the left side: \(2x + 2 = 226\) We subtract 2 from both sides: \(2x = 224\) The next step is to divide both sides by 2: \(x = 112\) Now we need to go back to our use of the variable x.
We said above that x is the SMALLER of the two numbers. The problem is asking for the larger of the two numbers. The larger number is x + 2, so 112 + 2 = 114. The answer is: the larger number is 114.
would it be 110 and 112? no.. 110 and 108???
110 + 112 = 222 110 + 108 = 218 Neither of the above add to 226, so they cannot be correct.
its 226 not 228
i got 114
Just because you solved the equation for x, it does not mean you have finished. You need to see what x represents and make sure you answer the question that is being asked.
226/2 is not 114
Follow my responses above to understand how to get the answer.
wait the answer is 114!?
yes they were saying x+2>x for positive number x
and you found the x so you could plug that x into x+2 to find the large of the two
lol yeah ???? i did not know how to explain it