Pls Answer ASAP. Need 4 Clearance

Pls answer ASAP. Need 4 clearance

Answer:

2) 14

3)The two numbers are 11 and 9

4)The two numbers are 18 and 12

Step-by-step explanation:

2)The sum of three consecutive even numbers is 42. What is the middle number?

Equation:

x + (x + 2) + (x + 4) = 42

3x + 6 = 42

3x = 42 – 6

3x = 36

x = 12

first integer x, = 12

Second integer x + 2, = 12 + 2 = 14(Answer)

Third integer x + 4, 12 + 4 = 16

3) the sum of two numbers is 20. One number is 7 less than twice the other number. What are the two numbers?

Let x = the number

y = the other number

Equation 1: x + y = 20

Equation 2: x = 2y – 7

x + y = 20

(2y – 7) + y = 20

3y – 7 = 20

3y = 20 + 7

3y = 27

y = 9

x + y = 20

x + (9) = 20

x = 20 – 9

x = 11

___Answer____ The two numbers are 11 and 9

4)The sum of two numbers is 30 and their difference is 6. What are the two numbers?

Let x = the number

y = the other number

Equation1: x + y = 30

Equation2: x – y = 6

x + y = 30

x – y = 6

_________

2x = 36

x = 18

x + y = 30

18 + y = 30

y = 30 – 18

y = 12

___Answer___ The two numbers are 18 and 12

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