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777dan777 [17]
3 years ago
12

Twice one number added to another umber is 18. If the second number is equal o 12 less than 4 times the first number, find the t

wo numbers.
​
Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0
The answer is 12 and 6 because twice the number which is 6 is 12
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1. 99 = 33x + 3(3x + 5)

⇒99 = 33x + 9x + 15

⇒99 = 42x + 15

⇒99 - 15 = 42x

⇒84 = 42x

⇒42x = 84

⇒x = 84/42

⇒x = 2

2. 12z - (4z + 6) = 82

⇒12z - 4z - 6 = 82

⇒8z - 6 = 82

⇒8z = 82 + 6

⇒8z = 88

⇒ z = 88/8

⇒ z = 11

3. 2x + 3x = 62

⇒5x = 62

⇒ x = 62/5 or x = 12.4

4. 4n + 5 = 6n + 7

⇒4n - 6n = 7 - 5

⇒-2n = 2

⇒ n = -2/2

⇒ n = -1

5. 23m - 5 = 21m + 5

⇒23m - 21m = 5 + 5

⇒2m = 10

⇒ m = 10/2

⇒ m = 5

6. 3p - 8 = 13 - 4p

⇒3p + 4p = 13 + 8

⇒7p = 21

⇒ p = 21/7

⇒ p = 3

7. 17x - 3 + 17x + 8 = 175

⇒17x + 17x - 3 + 8 = 175

⇒34x + 5 = 175

⇒34x = 175 - 5

⇒34x = 170

⇒ x = 170/34

⇒ x = 5

8. ƒ + 41 + ƒ + 78 = 95

⇒ƒ + ƒ + 41 + 78 = 95

⇒2ƒ + 119 = 95

⇒2ƒ = 95 - 119

⇒2ƒ = -24

⇒ ƒ = -24/2

⇒ ƒ = -12

9. 3x + 18 + 93 = 180

⇒3x + 111 = 180

⇒3x = 180 - 111

⇒3x = 69

⇒ x = 69/3

⇒ x = 23

10. 6x + 2 + 40 = 90

⇒6x + 42 = 90

⇒6x = 90 - 42

⇒6x = 48

⇒ x = 48/6

⇒ x = 8

11. k + 37 + k + 67 + 90 = 180

⇒k + k + 37 + 67 + 90 = 180

⇒2k + 104 + 90 = 180

⇒2k + 194 = 180

⇒2k = 180 - 194

⇒2k = -14

⇒ k = -14/2

⇒ k = -7

12. 3w - 6 + 8w + 4 + 50 = 180

⇒3w + 8w - 6 + 4 + 50 = 180

⇒11w - 6 + 54 = 180

⇒11w + 48 = 180

⇒11w = 180 - 48

⇒11w = 132

⇒ w = 132/11

⇒ w = 12

13. 8 + 6x = 4x + 2 + 30

⇒6x - 4x = 2 + 30 - 8

⇒2x = 32 - 8

⇒2x = 24

⇒ x = 24/2

⇒ x = 12

14. 46 + 8h - 1 = 18h + 5

⇒ 46 - 1 - 5 = 18h - 8h

⇒ 46 - 6 = 10h

⇒ 40 = 10h

⇒ 10h = 40

⇒ h = 40/10

⇒ h = 4

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⇒ 9x + 12x - 20x = 5 + 2 + 4

⇒ 21x - 20x = 11

⇒ x = 11

<h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
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3 years ago
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