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OlgaM077 [116]
3 years ago
15

The sum of two numbers is 32. Five times the smaller number minus twice the larger number is 195.What are the numbers ?

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0

Answer:

  • 37 and -5

Step-by-step explanation:

Le the numbers be x and y

<u>Then we have equations:</u>

  • x + y = 32
  • 5x - 2y = 195

<u>As per the first equation:</u>

  • y = 32- x

<u>Substitute in the second equation</u>

  • 5x - 2(32 - x) = 195
  • 5x + 2x - 64 = 195
  • 7x = 195 + 64
  • 7x = 259
  • x = 259/7
  • x = 37

<u>Then finding the value of y</u>

  • y = 23 - 37 = -5

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Step-by-step explanation:

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y

Rewrite

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therefore

The system of inequalities is

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see the attached figure to better understand the problem

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