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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

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  1. anonymous
    • one year ago
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    x + x + 2 = 226 Or, 2x = 224 Now can you solve it for x

  2. mathstudent55
    • one year ago
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    We can solve this with an equation. We start by choosing a variable. Let x be the smaller number.

  3. mathstudent55
    • one year ago
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    The next larger even number is 2 larger than x, that makes the larger number x + 2.

  4. anonymous
    • one year ago
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    224/2 made it easier

  5. mathstudent55
    • one year ago
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    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: \(x + x + 2 = 226\)

  6. anonymous
    • one year ago
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    112

  7. anonymous
    • one year ago
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    but thats not answer

  8. anonymous
    • one year ago
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    wait would it be 110 and 112?

  9. mathstudent55
    • one year ago
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    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.

  10. mathstudent55
    • one year ago
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    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.

  11. anonymous
    • one year ago
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    would it be 110 and 112? no.. 110 and 108???

  12. anonymous
    • one year ago
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    nope...

  13. mathstudent55
    • one year ago
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    110 + 112 = 222 110 + 108 = 218 Neither of the above add to 226, so they cannot be correct.

  14. anonymous
    • one year ago
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    its 226 not 228

  15. anonymous
    • one year ago
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    i got 114

  16. mathstudent55
    • one year ago
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    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.

  17. anonymous
    • one year ago
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    226/2 is not 114

  18. mathstudent55
    • one year ago
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    Follow my responses above to understand how to get the answer.

  19. anonymous
    • one year ago
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    wait the answer is 114!?

  20. mathstudent55
    • one year ago
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    Yes.

  21. freckles
    • one year ago
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    yes they were saying x+2>x for positive number x

  22. freckles
    • one year ago
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    and you found the x so you could plug that x into x+2 to find the large of the two

  23. anonymous
    • one year ago
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    lol yeah ???? i did not know how to explain it

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