Question 1109247: The sum of the second and the fourth even integers is 49 more than one-fourth of the third integer. What are these four consecutive integers?
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! let x be the first even number then we can list the four even integers as
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x, x+2, x+4, x+6
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now we can write the relationship
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(x+2 + x+6) = ((x+4)/4) + 49
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now simplify the expression
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2x +8 = ((x+4)/4) + 49
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multiply both sides of = by 4
:
8x +32 = x+4 +196
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7x +32 = 200
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7x = 168
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x = 24
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the four even numbers are 24, 26, 28, 30
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check the answer
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26 + 30 = (28/4) + 49
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56 = 7 + 49
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56 = 56
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answer checks
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