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zhuklara [117]
3 years ago
13

Two times the quantity of eight times a number plus two is equal to three the quantity of two times the same number minus seven

Mathematics
1 answer:
Effectus [21]3 years ago
7 0

The unknown number is - 2.5

Let the number = n

The equation will be formed as follows;

  • eight times a number plus two = 8n + 2
  • Two times the quantity of eight times a number plus two = 2(8n + 2)
  • two times the same number minus seven = 2n - 7
  • three the quantity of two times the same number minus seven = 3(2n-7)

Our final equation becomes;

2(8n + 2) = 3(2n-7)

Simplify as follow, to determine the unknown number;

16n + 4 = 6n - 21

16n - 6n = -25

10n = -25

n = -2.5

Thus, the unknown number is - 2.5

Learn more here: brainly.com/question/13818690

You might be interested in
The sum of three consecutive even numbers is one hundred sixty-two. What is the smallest of the three numbers?
zepelin [54]
Since the numbers are consecutive, they must be near each other in size, and therefore near one-third of 168. And since the lower number is -2 off the middle, and the upper number is +2 from the middle, the middle number must be exactly one-third of 168—otherwise the sum of the three could never be 168. Labelling the three consecutive numbers as x, y, and z:

x + y + z = 168

(y-2) + y + (y+2) = 168.

3y = 168

y = 56

therefore the smallest number (x) = 54.
436 viewsView upvotes

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