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kolbaska11 [484]
3 years ago
12

Write an equation to solve each problem and then solve it. a The sum of three consecutive integers is 84. Find the integers.

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer:

27,28,29

Step-by-step explanation:

Which means that the first number is 27, the second number is 27 + 1 and the third number is 27 + 2. Therefore, three consecutive integers that add up to 84 are 27, 28, and 29. We know our answer is correct because 27 + 28 + 29 equals 84 as displayed above.

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For problems such as this, it can be handy to remember that
.. 1/(1/a +1/b) = ab/(a +b)

The time required to do a job is the inverse of the rate at which the job is done. Rates are added when people work together (in math problems, not in real life).

(2:44)*(3:14)/(2:44 +3:14) = 1:28:52.3

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2:44 = 41/15 hours = 82/30 hours
3:14 = 97/30 hours
Using the formula above, we have a "working together" time of
.. (82/30)*(97/30)/(82/30 +97/30) = 82*97/(30*179) = 3977/2685 . . . hours
.. = 1 hour 28 156/179 minutes
.. = 1 hour 28 minutes 52 52/179 seconds

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