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nordsb [41]
3 years ago
11

The sum of two numbers is 50. One number is 10 less than three times the other number. What are the two numbers? A. 25 and 25 B.

45 and 5 C. 15 and 35 D. 40 and 10 E. 20 and 30
Mathematics
2 answers:
Alex Ar [27]3 years ago
8 0
Let x = other number
Let 3x-10 = One number
x%2B3x-10=50
CLT
4x-10=50
Add 10


4x=60
Divide both sides by 4
x=15
3x-10
45-10
35
The numbers are 15 and 35.
Alecsey [184]3 years ago
6 0

I think the correct answer is 15 and 35.

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Problem PageQuestion Flying against the jetstream, a jet travels 3050 miles in 5 hours. Flying with the jetstream, the same jet
goblinko [34]

Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph

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Let x represent the rate of the jet in still air.

Let y represent the rate of the jet jetstream.

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Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,

3050 = 5(x - y)

3050/5 = x - y

x - y = 610 - - - - - - - - - - - - - -1

Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,

3800 = 4(x + y)

3800/5 = x + y

x + y = 760 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 1370

x = 1370/2 = 685mph

Substituting x = 685 into equation 1, it becomes

685 - y = 610

y = 685 - 610 = 75mph

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