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alukav5142 [94]
3 years ago
9

4 consecutive numbers that add up to 8

Mathematics
1 answer:
Digiron [165]3 years ago
8 0

Answer:

The answer top your question is: 1/2, 3/2, 5/2 and 7/2

Step-by-step explanation:

Data

4 consecutive numbers that add up to 8

First number = n

2nd number = n + 1

3rd number = n + 2

4th number = n + 3

Now, add them up           n + n + 1 + n + 2 + n + 3 = 8        

                                                                                          Simplify like terms

                                         4n + 6 = 8

                                         4n = 8 - 6

                                         4n = 2

                                         n = 2/4 = 1/2

First number = n         = 1/2

2nd number = n + 1    = 1/2 + 1 = 3/2

3rd number = n + 2    = 1/2 + 2 = 5/2

4th number = n + 3    = 1/2 + 3 = 7/2

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the greatest of four consecutive even integers is 14 less than twice the smallest integer. what are the integers​
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The four consecutive even integers are 20, 22, 24, 26

<em><u>Solution:</u></em>

Let the four consecutive even integers are a , a + 2, a + 4, a + 6

Let "a" be the smallest integer and "a + 6" be the largest integer

To find: the four consecutive even integers

Given that the greatest of four consecutive even integers is 14 less than twice the smallest integer

largest integer = twice the smallest integer - 14

a + 6 = 2(a) - 14

a + 6 = 2a - 14

a - 2a = -14 - 6

-a = -20

a = 20

<em><u>Thus the four consecutive even integers are:</u></em>

a = 20

a + 2 = 20 + 2 = 22

a + 4 = 20 + 4 = 24

a + 6 = 20 + 6 = 26

Thus the four consecutive even integers are 20, 22, 24, 26

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The greatest common factor and factoring by grouping of the following is;

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<h3>Greatest common factor</h3>

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