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anonymous
 one year ago
PLEASE HELP I WILL MEDAL AND FAN
The sum of two consecutive even integers is 226. What is the larger integer?
114
116
112
118
anonymous
 one year ago
PLEASE HELP I WILL MEDAL AND FAN The sum of two consecutive even integers is 226. What is the larger integer? 114 116 112 118

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x + x + 2 = 226 Or, 2x = 224 Now can you solve it for x

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We can solve this with an equation. We start by choosing a variable. Let x be the smaller number.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The next larger even number is 2 larger than x, that makes the larger number x + 2.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0224/2 made it easier

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since 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: \(x + x + 2 = 226\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but thats not answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait would it be 110 and 112?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now 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.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We 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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it be 110 and 112? no.. 110 and 108???

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1110 + 112 = 222 110 + 108 = 218 Neither of the above add to 226, so they cannot be correct.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Just 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.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Follow my responses above to understand how to get the answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait the answer is 114!?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0yes they were saying x+2>x for positive number x

freckles
 one year ago
Best ResponseYou've already chosen the best response.0and you found the x so you could plug that x into x+2 to find the large of the two

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lol yeah ???? i did not know how to explain it
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